Kinematics Questions and Answers

Joe is standing 285 m from the base of the Rocky Mountains She screams out a name and the echo of her scream returns 2 1 s later What is the speed of sound in the air and what is the air temperature

Velocity and time information for a rightward moving car are shown t 0 0 s 4 v 4 0 m s What is the magnitude i e value and direction of the acceleration Magnitude t 2 0 s v 20 0 m s Direction m s s No sign Tap field to change Check Answers Level Adding Value to Accel 1 Student Name 683526 usd259 5 Progress Repor 2 6 3 Tap for Question Specific Help Me To Main Menu View Directions

Two spaceships are moving away from Earth in opposite directions one at 0 69 c and one at 0 67 c as viewed from Earth How fast does each spaceship measure the other one going 0 932 The first spaceship heads to a planet 10 light years from Earth Observers on Earth thus see the trip taking 14 49275 years How long do people aboard the first spaceship measure the trip 10 49 years

2 An object is released from rest How far does it fall during the 3rd second of its free fa Show your work below

You are holding two large identical stones next to each other at the edge of a very high balcony Ignore air resistance You release one stone from rest At the same moment you release the other stone with an initial speed of vo straight downward After some time has passed the difference between the stones two speeds will be A greater than vo B equal to vo C smaller than yo

3 A cart shown in the figure below is placed on an almost frictionless track that is raised at one end to form an inclined plane with an angle of inclination of 0 The acceleration due to gravity points directly downward It has the magnitude of g 9 80m s and It can be resolved into components that are perpendicular and parallel to the plane a Assume that the track is raised to the height h 15 0 cm and the other end of the track is 1 50 m away measured horizontally from the foot of the raised side of the track What is the angle of inclination b What is the component of acceleration parallel to the track for the value of that you derived from part a c If a cart is released from rest on this frictionless inclined track what is the velocity of the cart 1 25 s later d If a cart is released from rest on this frictionless inclined track what is the distance travelled by the cart in 1 25 s Show your step by step calculation below T Cart h

While approaching a stoplight in your car you apply the brakes This brings your car to a stop from an initial speed of 16 1 m s while traveling through a distance of 68 6 meters Assuming a constant deceleration find the total time required to stop the car in seconds seconds Hint Your final answer should be between 5 and 15 seconds Calculate and enter your final answer to at least 3 significant figures There is no penalty for including too many significant figures but rounding to too few sig figs may cause Laulima to judge your answer to be wrong Do NOT enter units with your answer enter only a numerical response Laulima will count non numerical answers as incorrect Partial credit is NOT possible

At the edge of a very high vertical cliff you throw a rock directly upward with an initial speed of 8 72 m s On its way back down the rock misses the cliff edge landing on the ground far below You measure that the rock takes a total of 6 9 seconds to travel from throw to landing Ignore air resistance What is the height of the cliff above the ground below in meters meters Hint Your final answer should be between 50 and 500 meters Calculate and enter your final answer to at least 3 significant figures There is no penalty for including too many significant figures but rounding to too few sig figs may cause Laulima to judge your answer to be wrong Do NOT enter units with your answer enter only a numerical response Laulima will count non numerical answers as incorrect Partial credit is NOT possible

8 A bullet leaves a rifle with a muzzle velocity of 521 m s While accelerating through the barrel of the rifle the bullet moves a distance of 0 740 m Determine the acceleration of the bullet L d TBAAD V Vf a t

Question 44 of 45 Step 1 of 1 A man is pushing his daughter on her bike If he pushes her with a force of 4 pounds and she weighs 56 pounds including the weight of the bike what is the total force being applied to the girl Round your answer to four decimals Answer 2 Points pounds Keypad Keyboard Shortcuts

Question 42 of 45 Step 1 of 1 01 21 54 A volleyball was hit into the air at a speed of 58 miles per hour at an angle of 50 from the horizontal Express this velocity in vector form Round your answer to four decimals Answer 2 Points 30 Keypad Keyboard Shortcuts

Question 20 of 45 Step 5 of 6 An arrow is shot from a bow at a rate of 160 mph at an angle of 25 from the horizontal The bow sits on a platform 5 feet above the ground Step 5 of 6 How far from the bow should the target at ground level be placed Round your answer to the nearest integer AnswerHow to enter your answer opens in new window 1 Point 02 22 15 B feet Keypad Keyboard Shortcuts

ev Dana shoots a basketball at an angle of 45 from the horizontal It leaves her hands 6 feet from the ground with a velocity of 27 ft s Step 1 of 3 Construct a set of parametric equations describing the shot Round all final values to the nearest tenth Answer 1 Point x Key Keyboard Shor

Question 21 A performer is shot from a cannon at a rate of 85 mph at an angle of 55 from the horizontal The cannon sits on a platform 15 feet above the ground Step 4 of 5 How far from the cannon should the landing net at ground level be placed Round your answer to the nearest integer AnswerHow to enter your answer opens in new window 1 Point feet Key Keyboard Sho

Question 18 of 45 Step 1 of 2 ev On her morning paper route Kristen throws a newspaper from her car window 5 feet from the ground The paper has an initial velocity of 25 ft s and is tossed at an angle of 27 from the horizontal Step 1 of 2 Construct a set of parametric equations modeling the path of the newspaper Round all final values to the nearest tenth Answer 1 Point W Keypad Keyboard Shortcuts N

use g 10 kg H w07 C 60 1985B2 Two 10 kilogram boxes are connected by a massless string that passes over a massless frictionless pulley as shown above The boxes remain at rest with the one on the right hanging vertically and the one on the left 2 0 meters from the bottom of an inclined plane that makes an angle of 60 with the horizontal The coefficients of kinetic friction and static friction between the left hand box and the plane are 0 15 and 0 30 respectively You may 10 m s sin 60 0 87 and cos 60 0 50 T 10 kg a What is the tension T in the string b On the diagram below draw and label all the forces acting on the box that is on the plane Determine the magnitude of the frictional force acting on the box on the plane The string is then cut and the left hand box slides down the inclined plane d Determine the amount of mechanical energy that is converted into thermal energy during the slide to the bottom e Determine the kinetic energy of the left hand box when it reaches the bottom of the plane

Glass Tube 6 500 in C Not Necessarily To Scale Spring Scale 0 200 kg 1997B2 modified To study circular motion two students use the hand held device shown above which consists of a rod on which a spring scale is attached A polished glass tube attached at the top serves as a guide for a light cord attached the spring scale A ball of mass 0 200 kg is attached to the other end of the cord One student swings the teal around at constant speed in a horizontal circle with a radius of 0 500 m Assume friction and air resistance are negligible a Explain how the students by using a timer and the information given above can determine the speed of the ball as it is revolving b The speed of the ball is determined to be 3 7 m s Assuming that the cord is horizontal as it swings calculate the expected tension in the cord The actual tension in the cord as measured by the spring scale is 5 8 N What is the percent difference between this measured value of the tension and the value calculated in part b The students find that despite their best efforts they cannot swing the ball so that the cord remains exactly horizontal d i On the picture of the ball below draw vectors to represent the forces acting on the ball and identify the force that each vector represents ii Explain why it is not possible for the ball to swing so that the cord remains exactly horizontal iii Calculate the angle that the cord makes with the horizontal

1999B1 The Sojourner rover vehicle shown in the sketch above was used to explore the surface of Mars as part of the Pathfinder mission in 1997 Use the data in the tables below to answer the questions that follow 11 5 kg Sojourner Data Mass of Sojourner vehicle Wheel diameter 0 13 m Stored energy available Power required for driving under average conditions Land speed 5 4 x 10 J a b C Mars Data Radius 0 53 x Earth s radius Mass 0 11 x Earth s mass 10 W 6 7 x 10 m s Calculate Sojourner s weight on the surface of Mars Assume that when leaving the Pathfinder spacecraft Sojourner rolls down a ramp inclined at 20 to the horizontal The ramp must be lightweight but strong enough to support Sojourner Calculate the minimum normal force that must be supplied by the ramp d What is the net force on Sojourner as it travels across the Martian surface at constant velocity Justify your e Determine the acceleration due to gravity at the surface of Mars in terms of g the acceleration due to gravity at the surface of Earth answer Determine the maximum distance that Sojourner can travel on a horizontal Martian surface using its stored energy f Suppose that 0 010 of the power for driving is expended against atmospheric drag as Sojourner travels on the Martian surface Calculate the magnitude of the drag force

4 m 1976B2 A bullet of mass m and velocity v is fired toward a block of mass 4m The block is initially at rest on a frictionless horizontal surface The bullet penetrates the block and emerges with a velocity of Yo 3 a Determine the final speed of the block b Determine the loss in kinetic energy of the bullet c Determine the gain in the kinetic energy of the block

A ball bounces several times after it is dropped The graph shows the height of the ball over time Height is measured in meters and time is measured in seconds Select all state are true about the graph and the situation it represents Select 2 height meters 26 1 5 0 6 1 5 The function s vertical intercept also called y intercept shows the time when the ball hits the ground The function has multiple horizontal intercepts The function s vertical intercept also called y intercept shows the time when the ball is dropped W 3 5 time seconds

Mary is bicycling straight north at 15 km hr and Mike is bicycling straight south at 15 km hr As they pass each other do they have the same velocity Do they have the same speed

A ball is thrown horizontally from a cliff at a rate of 10 meters per second If the ball strikes the ground after 1 50 seconds what is the height h of the 1 point cliff Your answer After 1 50 seconds what is the ball s vertical velocity just before hitting the 1 point ground Your answer M

Acceleration 1 Calculate the acceleration for the following data SHOW WORK Final Velocity 2 3 4 5 6 7 8 Initial Velocity 9 Om s 0 m s 20 m s 50 m s 25 m s 24 m s 35 m s 60 m s 150 m s 1200 m s Time 3 s 5 s a 10 s 5 s f 3600 s At A car accelerates from a standstill to 60 m s in 10 seconds What is the acceleration A car accelerates from 25 m s to 55 m s in 30 seconds What is its acceleration A train is accelerating at a rate of 2 m s If its initial velocity is 20 m s what is its velocity after 30 seconds A runner achieves a velocity of 11 1 m s 9 sec after he begins What is his acceleration What distance did he cover

ev An arrow is shot from a bow at a rate of 160 mph at an angle of 25 from the horizontal The bow sits on a platform 5 feet above the ground Step 1 of 6 Construct a set of parametric equations describing the arrow s flight Round all final values to the nearest integer Answer 1 Point X y Keypad Keyboard Shortcuts

A soccer ball is kicked from the ground with an initial speed vo and initial angle 0o above the horizontal where 80 is between 20 and 70 on a level playing field Ignoring air resistance which of the following statements are TRUE Select ALL that apply Partial credit IS possible A The soccer ball s speed at landing is the same as when it was kicked B The soccer ball s time of ascent rising is equal to its time of descent falling C Mathematically the shape of the ball s trajectory path is a portion of a parabola D At the top of its arc the soccer ball has zero speed E The soccer ball travels with a constant acceleration throughout its trajectory F At the top of its arc the soccer ball has its least kinetic energy

A 29 kilogram child rides on a playground swing with very long 5 00 meter chains If the child passes through the lowest point of her swing with a speed of 6 04 meters second what maximum height above the lowest point of the swing will the child reach before coming to rest Express your final answer in meters meters Assume no friction or air resistance Assume that the child can be approximated as a compact point mass and that there is no net work done on the system by the child Hint Your final answer should be between 0 5 and 3 0 meters

A particular toy airplane always flies at a speed of 7 m s through motionless air However on a particular day the wind is blowing steadily at 11 m s If the wind is blowing due south i e blowing out of the north and the airplane s nose is aimed due north while flying what will be the airplane s velocity relative to the ground OA 11 m s due north OB 4 m s due north C 18 m s due north D 4 m s due south E 7 m s due north F 18 m s due south OG 11 m s due south H 7 m s due south

1 0 1 1 5 2 1 2 3 5 6 7 8t s celeration Time Graph a How do you get acceleration from this graph b How do you get change in velocity from this graph

m s for 32 8 s until it finally lifts off the ground Determine the distance traveled before takeoff E d V Vf a t 6 A race car accelerates uniformly from 19 5 m s to 50 1 m s in 2 47 seconds Determine the acceleration of the car and the distance traveled T d V Vf a t 7 An engineer is designing the runway for an airport Of the planes that will use the airport the lowest acceleration rate is likely to be 3 m s The takeoff speed for this plane will be 75 m s Assuming this minimum acceleration what is the minimum allowed length for the runway First determine how much time it takes the plane to stop and then solve for distance R d V Vf a

1 A rock is falling downwards at 12 0 m s After 2 0 seconds it is falling at downwards at 31 6 m s What was its acceleration E 2 An NFL caliber wide receiver can reach a top speed of 10 0 m s in only 2 0 s What is their acceleration during this time H 3 A student is gliding along on a scooter at a comfortable 5 85 m s when Jake walks around the corner and the two collide If the student is brought to rest in 0 35 s what is their acceleration T 4 A car is moving at 40 0 m s when it accelerates at 1 Co

10 A stone is dropped into a deep well and is heard to hit the water 3 41 s after being dropped Determine the depth of the well V

A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time If the speed of the wind is 15 mph find the speed of the plane in still air The speed of the plane in still air is mph

Question 21 of 45 Step 3 of 5 A performer is shot from a cannon at a rate of 85 mph at an angle of 55 from the horizontal The cannon sits on a platform 15 feet above the ground Step 3 of 5 At what time will the performer hit the landing net placed at ground level Round your answer to the nearest hundredth AnswerHow to enter your answer opens in new window 1 Point 02 16 19 seconds Keypad Keyboard Shortcuts

Consider an object with a mass of 6 kilograms dropped from a height of 1200 meters where the air resistance is proportional to the velocity Write the velocity of the object as a function of time t when the velocity after 5 seconds is approximately 31 meters per second Use g 9 8 m s Round all coefficients to four decimal places What is the limiting value of the velocity function Round your answer to four decimal places m s

Figure 3 13 represents a multiple flash photo of two balls moving to the right The figure shows both balls at several numbered times The flash times are equally spaced Which ball has the greater acceleration The greater speed The greater velocity Does either ball pass the other and if so when

A graph of position versus time for a certain particle moving along the x axis is shown in the figure below Find the instantaneous velocity at the following instants x m 10 a 25 8 6 4 2 0 12345678 t 1 00 s t s x Your response differs significantly from the correct answer Rework your solution from the beginning and check each step carefully m s b t 3 00 s 15 x Your response differs from the correct answer by more than 10 Double check your calculations m s c t 4 50 s 0 9 Consider carefully whether the correct answer is exactly zero or just a very small number m s d t 7 50 s 0 75 Your response differs from the correct answer by more than 10 Double check your calculations m s

A speedboat moving at 36 5 m s approaches a no wake buoy marker 100 m ahead The pilot slows the boat with a constant acceleration of 3 90 m s2 by reducing the throttle a How long does it take the boat to reach the buoy 2 7 S b What is the velocity of the boat when it reaches the buoy 40 1 X Your response differs from the correct answer by more than 10 Double check your calculations m s

Communication The velocity of a truck is given by the function f x 4x 6 Explain why there are an infinite number of possible functions for the truck s displacement and give three possible functions

1977 B1 A block of mass 4 kilograms which has an initial speed of 6 meters per second at time t 0 slides on a horizontal surface a Calculate the work W that must be done on the block to bring it to rest If a constant friction force of magnitude 8 newtons is exerted on the block by the surface determine the following b The speed v of the block as a function of the time t C The distance x that the block slides as it comes to rest

2 0 m s 250 kg F Several students are riding in bumper cars at an amusement park The combined mass of car A and its occupants is 250 kg The combined mass of car B and its occupants is 200 kg Car A is 15 m away from car B and moving to the right at 2 0 m s as shown when the driver decides to bump into car B which is at rest 15 m 200 kg 4 a Car A accelerates at 1 5 m s to a speed of 5 0 m s and then continues at constant velocity until it strikes car B Calculate the total time for car A to travel the 15 m To the left c Is this an elastic collision Yes No Justify your answer To the right b After the collision car B moves to the right at a speed of 4 8 m s i Calculate the speed of car A after the collision ii Indicate the direction of motion of car A after the collision None car A is at rest

Force N 4 3 2 1 00 4 6 8 10 14 16 18 20 22 Displacement m 12 1997B1 A 0 20 kg object moves along a straight line The net force acting on the object varies with the object s displacement as shown in the graph above The object starts from rest at displacement x 0 and time t 0 and is displaced a distance of 20 m Determine each of the following a The acceleration of the particle when its displacement x is 6 m b The time taken for the object to be displaced the first 12 m c The amount of work done by the net force in displacing the object the first 12 m d The speed of the object at displacement x 12 m e The final speed of the object at displacement x 20 m

A child is practicing for a BMX race His speed remains constant as he goes counterclockwise around a level track with two nearly straight sections and two ne semicircular sections as shown in the aerial view of the figure TOARC B N ZAH S D COWE a What are the directions of his velocity at points A B and C Select v Select v Select v B Select E b What are the directions of his acceleration at points A B and C Select v A Y

One car goes from 0 to 30 km hr Later another car goes from 0 to 60 km hr Can you say which car had the greater acceleration Explain

3 You have decided to invent a new extreme sport called motocycle cliff dining This involves taking off using a ramp that a speed of 45mle at a is 400m above the water with above the horizontal what is the magnitude launch angle of 36 of your velocity when hit the water m s you

Question 20 of 45 Step 1 of 6 01 45 48 A performer is shot from a cannon at a rate of 75 mph at an angle of 60 from the horizontal The cannon sits on a platform 14 feet above the ground Step 1 of 6 Construct a set of parametric equations describing the performer s flight Round all final values to the nearest integer Answer 1 Point 4 Keypad Keyboard Shortcuts

Time sec 0 1 2 3 4 5 Distance m 0 50 75 90 110 125 1 What is the average speed after two seconds 2 After three seconds 3 After 5 seconds 4 What is the average speed between two and four seconds 5 What is the average speed between four and five da

Position m 40 30 20 10 0 1 2 3 Time s 8 Position Time Graph 4 5 a How do you get a position from this graph b How do you get velocity from this graph c How do you get displacement from this graph d How do you get distance from this graph

A rock from a volcanic eruption is launched straight up into the air with no appreciable air resistance Which one of the following statements about this rock while it is in the air is correct O On the way up its acceleration is downward and its velocity is upward and at the highest point both its velocity and acceleration are zero On the way down both its velocity and acceleration are downward and at the highest point both its velocity and acceleration are zero O The acceleration is downward at all points in the motion except that is zero at the highest point O Throughout the motion the acceleration is downward and the velocity is always in the same direction as the acceleration O The acceleration is downward at all points in the motion

Carrie shoots a basketball at an angle of 45 from the horizontal It leaves her hands 6 feet from the ground with a velocity of 24 ft s Step 3 of 3 Determine the height of the ball when it is 6 feet away horizontally Round to the nearest tenth Answer How to enter your answer opens in new window 3 Points feet Keypa Keyboard Shortc

Is the motion sickness that some people get in a car actually due to motion per se or to something else Describe one form of motion that would not make people sick