Kinematics Questions and Answers

6 The distances in feet covered by a train at any time t seconds after starting from a What is the train s acceleration after any time t

6 As shown in the figure block B on a horizontal tabletop is attached by very light horizontal strings to two hanging blocks A and C The pulleys are ideal and the coefficient of kinetic friction between block B and the tabletop is 0 100 The masses of the three blocks are mA 12 0 kg m 7 00 kg and mc 10 0 kg Find the magnitude and direction of the acceleration of block B after the system is gently released and has begun to move A B 1

13 An automobile enters an interstate ramp at 9 0 m s and leaves it going 25 m s The ramp is 250 m long and mass of the car is 1300 kg What average force was exerted on the automobile while it was accelerating O 1670 N O 2100 N O 1000 N O 2600 N 1 400N

Charlotte is driving at 52 0 mi h and receives a text message She looks down at her phone and takes her eyes off the road for 3 45 s How far has Charlotte traveled in feet during this time distance ft

A biker is traveling on level ground at 44 0 m s with a combined mass of 307 0 kg She spots a police officer 500 meters up ahead so she applies the brakes reducing her speed by half over a period of 13 0 seconds In meters how far does she travel during this time period

A highway and a railway cross at and angle of 27 degrees A train is approaching the intersection at 64 miles per hour while a semi truck is approaching the intersection at 60 miles per hour Determine the rate of change of the distance between the train and the semi truck when the train and the semi truck are 4 and 2 miles away from the intersection respectively Round the solution to the nearest ten thousandth if necessary miles per hour semi truck train

A plane flies 13 hours at 130 mph on a bearing of 30 It then turns and flies 2 3 hours at the same speed on a bearing of 120 How far is the plane from its starting point The plane is miles from its starting point 30 120

For Claudia the worst part of being on lock down is having to deal with her little sister While Claudia is studying for her Physics exam her sister hits her in the head with her Princess Elsa doll And laughs about it In response Claudia grabs her little sister and throws her straight up in the air with a speed of 30 m s When Claudia catches her she apologizes and promises not to hit her with her Princess Elsa doll again How high does Claudia s little sister go up in the air How long is she in the air 45 9 m 6 1 s 35 2 m 4 2 s 63 8 m 7 9 s 25 6 m 5 5 s

Consider the following problem Find the distance traveled in 50 seconds by an object traveling at a velocity of v t 20 7cos t feet per second Decide whether the problem can be solved using precalculus or whether calculus is required The problem can be solved using precalculus The problem requires calculus to be solved If the problem can be solved using precalculus solve it If the problem seems to require calculus use a graphical or numerical approach to estimate the solution Round your answer to the nearest foot ft

9 Find the radius of a pulley lifting a weight if a rotation of 295 raises the weight 20 G

On the set of a new Hollywood movie a 83 2 kg stunt actor Max Payne is tossed straight out of a helicopter hovering stationary at a height of 51 5 meters The stunt actor is thrown from the helicopter at a speed of 6 22 m s eventually landing in the water below Determine the stunt actor s impact speed and assume negligible air resistance You can use the approximation that g 10 m s Answer m s round to the nearest hundredth

A biker is traveling on level ground at 51 0 m s with a combined mass of 341 0 kg She spots a police officer 500 meters up ahead so she applies the brakes reducing her speed by half over a period of 17 0 seconds In meters how far does she travel during this time period Answer m Think to yourself do not enter an answer to this question If she doesn t reach the new lower speed in time she will pass the officer with a speed that s too high certainly getting a ticket In other words if the distance you calculate is above 500 m she doesn t slow down in enough time If the distance you calculate is less than 500 m she reaches the safe speed before she reaches the officer So does she get a ticket

O98 feet O 115 feet 119 feet 104 feet 108 feet a la de a se to po ay wa w o po to da se to the te te the proces da to ne te per a tots els pares

7 10 points A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 80 feet second The height in feet of the ball at t seconds is given by s t 6 801 16 Include units in your answers You may use a calculator for this problem a What is the velocity of the ball at 2 seconds b When will the ball reach its maximum height c What is the maximum height achieved by the ball d What is the acceleration of the ball at any time e When does the ball hit the ground Round your answer to two decimal places

5 A 0 56 kg ball is thrown vertically upward with an initial speed of 17 0 m s What is the speed of the ball when it has travelled two thirds of the distance to its maximum height m s

1 A pulley device is used to hurl projectiles from a ramp mk 0 26 as illustrated in the diagram The 5 0 kg mass is accelerated from rest at the bottom of the 4 0 m long ramp by a falling 20 0 kg mass suspended over a frictionless pulley Just as the 5 0 kg mass reaches the top of the ramp it detaches from the rope neglect the mass of the rope and becomes projected from the ramp 5 0kg 30 40m M 0 26 20 0 kg 60m a Determine the acceleration of the 5 0 kg mass along the ramp Provide free body diagrams for both masses b Determine the tension in the rope during the acceleration of the 5 0 kg mass along the ramp Dotorming the speed of projection of the 5 0 kg mass from the top of the ramp

The Data Table distance being computed by the principles within the laboratory exercise Using the data table calculate for an initial angle and incremented angles thereafter the acceleration of the steel ball the velocity time until the ball hits the ground and the horizontal distance the ball should travel You will mark the calculated position on the floor and then measure the actual distance traveled Aron Sa 2208 15 0 Trial 2 3 5 Data Table Data Table Sphere 8 Steel Steel Steel Acrylic Table 75cm S 8fem Clength of angle bar 9 8 10 1 248 5 15 1 80 a 0 71 9 8 sine 10 20 2 38 10 1 218 Acrylic 5 15 1 8 Acrylic 10 20 2 38 2as t 2h 9 381 1 38 381 all your work 389 Percent Calculated Actual Distance Distance Difference x v t Mo 20 22 14 20 23

A rifle with a weight of 35 N fires a 6 0 g bullet with a speed of 210 m s a Find the recoil speed of the rifle 0 3528 m s b If a 775 N man holds the rifle firmly against his shoulder find the recoil speed of the man and rifle 0 0167 x Your response is within 10 of the correct value This may be due to roundoff error or you could have a mistake in your calcu accuracy to minimize roundoff error m s

A baseball is hit 3 feet above the ground at 80 feet per second and at an angle of 45 with respect to the ground Find the range Round your answer to one decimal place 215 6 feet 386 6 feet 203 feet 259 5 feet O275 7 feet

A baseball is hit 3 feet above the ground at 110 feet per second and at an angle of 45 with respect to the ground Find the maximum height Round your answer to the nearest integer 108 feet 104 feet 119 feet O 115 feet 98 feet

A plane must fly to a destination that is south west of its departure point Due to the wind it heads west What direction is the wind blowing West East North east North west South

A quarterback throws a football with a velocity of 45 mph and a direction of 170 The wind on the field is 12 mph with a direction of 330 What are the true speed and direction of the football Round the speed to the thousandths place and the direction to the nearest degree O 33 876 3 33 876 177 O 33 973 3 33 973 177

The table gives x and y coordinates of a particle in the plane at time t Assuming that the particle moves smoothly and that the points given show all the major features of the motion estimate the following quantities 0 0 5 14 Y 3 2 a The velocity vector and speed at time t 1 1 M 1 W 1 0 6 3 1 5 7 5 2 0 6 8 2 5 3 11 3 0 2 12 3 5 4 0 3 5 11 10 b Any times when the particle is moving parallel to the y axis Enter your answers as a comma separated list c Any times when the particle has come to a stop Enter your answers as a comma separated list

7 A particle moves along a line according to the following information about its position s t velocity v t and acceleration a t Find the particle s position function s t for general t a v t 1 5t 4t s 4 50

Terri holds a flashlight whose rays travel at 3 00 x 108 m s Michael s truck is traveling in the same direction 2 18 x 108 m s When he looks at the rays from Terri s flashlight how fast does he think the rays are moving 2 18 x 108 m s 1 3 00 x 108 m s 1 PIOT

A car travels 800 m north 700 m east and 1000 m south it s final displace ment is a 200 m south b 500 m 16 south of east 728 m 16 south of east 825 m 16 north of east e 450 m south d

A tennis ball is tossed from the window of a building The ball is given an initial velocity of 8 0 m s at an angle of 30 below the horizontal It strikes the ground 4 5 s later How far horizontally from the base of the building does the ball strike the ground a 18 m b 36 m 12 m 31 m 24 m

Vectors A3 2 3j 6 k B P j zk t AXB 6 A B 0 3 A 2 A B X B A R 7 18 B 7 8 find angle A Rj B Re and Ry it A 13 R B between

Explanation Question COM Please answer in complete sentences It is a 3 mark question Please provide explanation for your answer Question 11 3 points A large man and a small child are sliding on identical sleds down a frictionless hill of height h Ignoring air friction who has the fastest speed at the bottom or do they have the same speed Explain your reasoning

A football player punts a ball at an angle of 43 at 1 5 feet off the ground with an initial velocity of 79 feet per second How far away does the ball land in feet when hitting the ground O 168 376 feet O 177 868 feet O 181 099 feet 196 152 feet

A plane has an airspeed of 115 km h It is flying on a bearing of 73 while there is a 26 km h wind out of the northeast bearing 225 What are the ground speed and the bearing of the plan The ground speed is km h Round to the nearest tenth as needed

Two blocks each of mass m 3 24 kg are fastened to the top of an elevator as in the figure T 171 m T a If the elevator has an upward acceleration a 1 60 m s find the tensions T and T in the upper and lower strings T1 N T2 N b If the strings can withstand a maximum tension of 87 0 N what maximum acceleration can the elevator have before the upper string br

Two packing crates of masses my 10 0 kg and m 4 60 kg are connected by a light string that passes over a frictionless pulley as in the figure The 4 60 kg crate lies on a smooth incline of ang 41 0 a Find the acceleration of the 4 60 kg crate m s up the incline b Find the tension in the string

From the window of a building a ball is tossed from a height yo above the ground with an initial velocity of 8 10 m s and angle of 17 0 below the horizontal It strikes the ground 5 00 s later a If the base of the building is taken to be the origin of the coordinates with upward the positive y direction what are the initial coordinates of the ball Use the following as necessary Yo x 0 X 0 VLY Vy b With the positive x direction chosen to be out the window find the x and y components of the initial velocity Vx7 7460 m s 2 3682 x The response you submitted has the wrong sign m s c Find the equations for the x and y components of the position as functions of time Use the following as necessary yo and t Let the variable t be measured in seconds x 2 36 Y 38 73 X m m d How far horizontally from the base of the building does the ball strike the ground 38 73 m e Find the height from which the ball was thrown 185 02 x Your response differs from the correct answer by more than 10 Double check your calculations m 1 How long does it take the ball to reach a point 10 0 m below the level of launching 1 6905 x Your response differs from the correct answer by more than 10 Double check your calculations s

A basketball dropped from the roof of a three story building falls to the ground Ignoring air resistance sketch the motion diagram for this motion including approximate representations of the position versus time velocity versus time and acceleration versus time graphs for this motion Include axes labels appropriate numbers nd units for each graph Upload an image of the sketches and explain your sketches in words in the panels below

A rock is thrown from the edge of a cliff with a horizontal velocity component v The rock travels a horizontal listance before it strikes the ground In order for the rock to travel a horizontal distance 2x what must be the nitial horizontal velocity of the rock in terms of v GIUL 5 Zr

The free body diagram below shows three forces A C and N acting on an object at the origin North West Image Description South Force A pulls with 450 pounds in the direction North 30 East Force C pulls with 400 pounds in the direction South 31 East Force N pulls with 350 pounds in the direction South 20 West East lbs Find the sum of the x components of these forces Give your answer as a decimal number without units Sum of the x components Find the sum of the y components of these forces Give your answer as a decimal number without units Sum of the y components Question Help Message instructor lbs Part 1 of 3

An airplane is flying at a ground velocity of 455km h towards a destination located on a bearing of N37 E from the airplane s original position The airspeed of the airplane is 505km h on a heading of N50 E Determine the magnitude of the wind s velocity and the direction the wind is blowing from Include a fully labeled diagram including arrows in your solution

Intro to Vectors Slide Notes are attached below Find the total displacement or velocity for the following cases 1 A bee flies 12 m north 8 meters west and then 4 meters south What is the displacement of the bee 2 A person walks 6 blocks south 4 blocks west and then 6 blocks north What is the person s displacement in blocks 3 A boat that moves with a constant velocity of 12 m s North is on a river with a constant current of 4 m s South What is the resultant velocity of the boat 4 An airplane travels with a constant velocity of 210 m s East and in the upper atmosphere where the plane is traveling there is a wind that is blowing at a constant velocity of 60 m s to the east What is the resultant velocity of the boat

A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 17 0 below the horizontal The negligent driver leaves the car in neutral and the emergency brakes are defective The car rolls from rest down the incline with a constant acceleration of 2 75 m s for a distance of 65 0 m to the edge of the cliff which is 25 0 m above the ocean a Find the car s position relative to the base of the cliff when the car lands in the ocean m b Find the length of time the car is in the air

If up is measured as positive the rate of change of the velocity of a falling object is a negative and decreasing b negative and constant c negative and increasing d zero

The determined Wile E Coyote is out once more to try to capture the elusive roadrunner The coyote wears a new pair of power roller skates which provide a constant horizontal acceleration of 15 m s as shown in the figure below The coyote starts off at rest 70 m from the edge of a cliff at the instant the roadrunner zips by in the direction of the cliff BEEP BEEP a If the roadrunner moves with constant speed find the minimum speed the roadrunner must have to reach the cliff before the coyote m s b If the cliff is 100 m above the base of a canyon find where the coyote lands in the canyon Assume that his skates are still in operation when he is in flight and that his horizontal component of acceleration remains constant at 15 m s2 m from the base

A 2 00 m tall basketball player is standing on the floor 10 0 m from the basket as in the figure below If he shoots the ball at a 40 0 angle with the horizontal at what initial speed must he throw the basketball so that it goes through the hoop without striking the backboard The height of the basket is 3 05 m m s 2 00 m S 3 05 m

hiker starts at his camp and moves the following distances while exploring his surroundings 70 0 m north 2 30 x 102 m east 135 m at an angle 30 0 north of east and 1 50 x 102 m south a Find his resultant displacement from camp Take east as the positive x direction and north as the positive y direction magnitude m direction south of east b Would changes in the order in which the hiker makes the given displacements alter his final position Yes O No Explain

The northern mockingbird the state bird of texas lands on the ground with a speed of 27 8m s and accelerate at a r of 11 9 mes as it comes to rest From the instant the northerr macking bird touches down on the ground what is the time needed for it to come to rest

21 If F1 is greater than F2 then the box is In the diagram below box M is on a frictionless table with forces F and F acting as shown F MF FRICTIONLESS TABLE O moving in the direction of Fl O moving in the direction of F2 O at rest O in a state of equilibrium 3 points 22 A rocket engine thrusts the rocket into space because 3 points

The graph in Figure 1 shows the velocity v of a sports car as a function of time t Use the graph to answer the following questions Figure velocity m s 60 40 20 2 8 1 of 1 Y Find the maximum acceleration amax of the car Express your answer in meters per second per second to the nearest integer View Available Hint s amax Submit Part D Review A o SHO Find the minimum magnitude of the acceleration amin of the car Express your answer in meters per second per second to the nearest integer View Available Hint s m

55 The graph below shows the relationship between distance d and time t for a moving object d t On the axes in your answer booklet sketch the general shape of the graph that shows the relationship between the magnitude of the velocity v and time t for the moving object 1

Average speed equation speed distance time 14 A runner completed the 100 meter dash in 10 0 seconds Her average speed was O 0 100 m s O 10 0 m s O100 m s O 1 000 m s

An object moves with constant acceleration 4 30 m s and over a time interval reaches a final velocity of 13 2 m s a If its initial velocity is 6 6 m s what is its displacement during the time interval m b What is the distance it travels during this interval m c If its initial velocity is 6 6 m s what is its displacement during the time interval m d What is the total distance it travels during the interval in part c