Kinematics Questions and Answers

or straight downward at rate of 15m s from a height of 1400m 1400m a a 9 8m 52 t 2 Calculate the total time of flight Vi o a 9 8m 5

67 A car and a truck are heading directly toward one another on a straight and narrow street but they avoid a head on colli 0 The re sion by simultaneously applying their brakes at t sulting velocity versus time graphs are shown in Figure 2 31 What is the separation between the car and the truck when they have come to rest given that at t 0 the car is at x 15 m and the truck is at x 35 m Note that this information deter mines which line in the graph corresponds to which vehicle 15 10 5 0 5 10 15 v m s FIGH 1 2 it doen Inglori t s 4

Instructions 7 14 Plot the point with the given the polar coordinates 7x8 T 8 TT 7 4 3 7 3 2 5 8 ech paint 3 XTT a 2 6 31 21 adius 8 2 90 9 10 1 5 3 17 10

01 Astronauts on a distant planet throw a rock straight upward and record its motion with a video camera After digitizing their video they are able to produce the graph of height y versus time t shown in Figure 2 36 a What is the acceleration of grav ity on this planet b What was the initial speed of the rock y m 30 25 20 15 10 5 1 2 3 4 5678 FIGURE 21 36 Problem 101 t s

5 A car in stop and go traffic starts at rest 13 m in 8 0 s then comes to rest again The velocity versus time plot for this car is given in Figure 2 30 What distance does the car cover in a the first 4 0 seconds of its motion and b the last 2 0 seconds of its motion c What is the constant speed V that characterizes the middle portion of its motion Velocity m s V O 4 Time s A FIGURE 2 30 Problem 66 2 6 8

Problem 1 70 A ship leaves the island of Guam and sails 285 km at 62 0 north of west In which direction n it now head and how far must it sail so that its resultant displacement will be 115 km directly east of Guam

86 To celebrate a victory a pitcher throws her glove straight up ward with an initial speed of 6 0 m s a How long does it take for the glove to return to the pitcher b How long does it take for the glove to reach its maximum height

8 You shoot an arrow into the air Two seconds later 2 00 s the arrow has gone straight upward to a height of 30 0 m abov its launch point a What was the arrow s initial speed b How long did it take for the arrow to first reach a height 15 0 m above its launch point

Dylan Young Type I A projectile is launched horizontally from a cliff top at 12 m s Determine the x y positions at 1 second intervals The launch position is 0 m 0 m Zoom Link Parent Graphs Using g 9 8 m s s Enter for left and down time s x Position m 0 0 1 0 2 0 3 0 10 There is a second hot spot in the lower right corner of the iFrame Dragging this hot spot allows you to change the size of iFrame to dimensions you prefer X X2 X3 V 0 0 0 0 Ms Donohue Science V Y2 Y3 VA X1 y1 y Position m X2 Y2 0 0 BASD Virtual Acade X3 Y3 X4 y4 WALLPARTY Once satisfied with your entries tap on Check Answers Clever Portal MGmail Check Answers Student Name d young student boye org Level Position Value Progress Repo Question 2 Motion Diagram x y Velocity Health Tap for Question Spe Help Me View Directi To Main Me

The position of a particle as a function of time is given by x 2 0 m s t 3 0 m s t3 a Plot x versus t for time from t 0 to t 1 0 s b Find the average velocity of the particle 0 35 s to t 0 45 s c Find the average velocity from t 0 39 s to t 0 41 s d Do you expect the instantaneous ve 0 40 s to be closer to 0 54 m s 0 56 m s or 0 58 from t locity at t m s Explain

You are watching an old rickety bridge being detonated making way for a newer safer design You see the bridge detonate first and you hear the sound of the explosion four seconds later How far away from the bridge were you standing Assume the speed of sound is 345 m s and constant that is vf v

5 What is the connection between the position tim and velocity time graphs

4 Please draw a velocity time graph for an accelerating object

JE 1 You are watching an old rickety bridge being detonated making way for a newer safer design You see the bridge detonate first and you hear the sound of the explosion four seconds later How far away from the bridge were you standing Assume the speed of sound is 345 m s and constant that is v vi 86 25 meters 1380 meters 690 meters 1500 meters C

circles in a half minute at a uniform rate 3 A student is on an amusement park ride that moves along a circular path at constant speed with a radius of 6 4 meters The student experiences a sideways acceleration 2 0 g s 20 m s

8c4p98 A ball is thrown horizontally from a height of 17 7 m and hits the ground with a speed that is three times its initial speed What was the initial speed

20 A spring with a spring constant of 12 N m is stretched from equilibrium to 1 9 m How much work is done in the process O 65 J O 22 J O 100 J O 28 J

8c4p6 The position or 3 0 ti 5 0 t2 j 3 0 k where t is in seconds and the coefficients have the proper units for r to be in meters What is v t for the electron What is its dista Origin at t 2 1 s Submit Answer Tries 0 81 In unit vector notation what is v at t 2 1 s i component of velocity Submit Answer Tries 0 8 j component of velocity Submit Answer Tries 0 8 k component of velocity Submit Answer Tries 0 8 What is the magnitude of v just then Submit Answer Tries 0 8 in the direction of v just then

jet plane hrw8c2p80 A high performance jet plane practicing radar avoidance maneuvers is in horizontal flight 50 0 m above the level ground Suddenly the plane encounters terrain that Timer Notes Evaluate Feedback Print slopes gently upward at 3 30 an amount difficult to detect see the figure How much time does the pilot have to make a correction to avoid flying into the ground s The speed of the plane is 1400 km h Angle Height

rectangular vectors c3p11 A person desires to reach a point that is 3 10 km from her present location and in a direction that is 29 north of east However she must travel along streets that are oriented Timer Notes Evaluate Feedback Print Info ther north south or east west What is the minimum distance she could travel to reach her destination Submit Answer Triss 00

Submit Answer Tries 0 8 How far did the projectile travel horizontally during its flight 4 8c4p31 An airplane diving at an angle of 54 with the vertical releases a projectile at an altitude of 810 m The projectile hits the ground 4 66 s after being released What is th speed of the aircraft Submit Answer Tries 0 8 What was the horizontal component of its velocity just before striking the ground horizontal Submit Answer Tries 0 8 What was the vertical component of its velocity just before striking the ground Feedback Print

v m s 4 8 t s 12 16 p67 How far does the runner whose velocity time graph is shown in the figure travel in 16 s The figures vertical scaling is set by vs 2 m s 21m hmit Answer Incorrect Tries 1 8 Previous Tries

2 A bouncy ball is thrown to the ground from a height of 2 0 m The ball strikes the ground and bounces to a maximum height of 14 0 m What was the initial speed of the ball Ignore air resistance 15 3 m s

A football was thrown into the air at a speed of 21 miles per hour at an angle of 55 from the horizontal Express this velocity in vector form Round your answer to four decimals Answer Keypad

quantities increases as the ball falls from the maximum height own up into the air and reaches a maximum height Which of the following a kinetic energy b force of gravity c acceleration d mass e gravitational potential energy 8 A 20 0 kg crate slides across the floor 15 0 m against a force of friction of 7 50 N The work done by friction is a 2940 J b 113 J c 980 J d 300 J e 750 J

Show all work on separate paper Non Calculator The velocity of a moving particle on a coordinate line is given by v t 1 31 10 ft min where t is measured in minutes and 120 a Find the displacement of the particle during the first 3 minutes b Find when the particle s speed is decreasing Justify c Write but do not evaluate an integral expression to find the total distance traveled by the particle for the first 5 minutes Wees during

s w A t s 9 As two trains move along a track their conductors suddenly notice that they are headed toward each other The figure gives their velocities v as a function of time t as the tors slow the trains The figure s vertical scaling is set by v 30 m s The slowing process begins when the trains are 170 00 m apart What is their separation when both trains topped

2 A small meteor in space of mass 25000 0 kg collides with a satellite of mass 9600 0 kg Afterwards the two objects merge into a single object If the meteor was travelling at a speed 250 0 m s and the satellite was travelling at a speed of 375 0 m s calculate the new speeds if a they were initially moving TOWARDS each other b they were initially moving in the same direction

A spring stretches 0 200 m when a 0 223 kg mass is gently suspended from it as in Fig 11 3b The spring is then set up horizontally with the 0 457 kg mass resting on a frictionless table as in Fig 11 5 The mass is pulled so that the spring is stretched 0 287 m from the equilibrium point and released from rest Determine d the magnitude of the velocity v when the mass is 0 050 m from equilibrium

What causes the rumbling of thunder Lightning strikes in waves creating multiple rounds of thunder The sound waves behave differently within air that is high in humidity O The sound waves bounce off trees buildings and other objects after the lightning is struc Thunder bounces off the bottom of the thunderstorm cloud

10 0 A 10 5 6 B FRQ Velocity vs Time Graph 2 20 r C 30 D Time s 40 E 50 F 60 G Answer the following whenever possible 1 Calculate the displacement from 0 to 10 seconds 2 Calculate the displacement from 10 to 20 seconds 3 Calculate the displacement from 20 to 30 seconds 4 Calculate the displacement from 10 to 30 seconds Calculate the displacement from 30 to 40 seconds Calculate the displacement from 40 to 60 seconds 7 What is the object s average velocity from 10 to 50 seconds 8 What is the object s average velocity from 20 to 60 seconds What is the object s average velocity from 0 to 60 seconds 9 10 What is the object s average velocity displacement and acceleration from 50 to 60 seconds 11 What is the object s average velocity displacement and acceleration from 40 to 50 seconds 12 What is the object s average velocity displacement and acceleration from 30 to 40 seconds 13 What is the object s average velocity displacement and acceleration from 0 to 10 seconds 14 Which lettered 10 second time interval s contains a positive displacement and a negative acceleration The velocity axis ranges from 10 to 10 m s Skip a line between responses 70 15 Which lettered 10 second time interval s contains a negative displacement and a positive velocity 16 Which lettered 10 second time interval s contains a positive displacement a negative velocity and a negative acceleration 17 Which lettered 10 second time interval s contains a negative displacement a negative velocity and a negative acceleration 18 Which lettered 10 second time interval s contains a positive displacement a negative velocity and a positive acceleration

Directions Questions 1 4 and 5 are short free response questions that require about 13 minutes each to answer and are worth 7 points cach Questions 2 and 3 are long free response questions that require about 25 minutes each to answer and are worth 12 points cach Show your work for each part in the space provided after that part Ho Note Figure not drawn to scale 1 7 points suggested time 13 minutes A stunt cyclist builds a ramp that will allow the cyclist to coast down the ramp and jump over several parked cars as shown above To test the ramp the cyclist starts from rest at the top of the ramp then leaves the ramp jumps over six cars and lands on a second ramp He is the vertical distance between the top of the first ramp and the launch point eg is the angle of the ramp at the launch point from the horizontal Xo is the horizontal distance traveled while the cyclist and bicycle are in the air ma is the combined mass of the stunt cyclist and bicycle a Derive an expression for the distance X in terms of Ho o mo and physical constants as appropriate

A spring stretches 0 133 m when a 0 263 kg mass is gently suspended from it as in Fig 11 3b The spring is then set up horizontally with the 0 485 kg mass resting on a frictionless table as in Fig 11 5 The mass is pulled so that the spring is stretched 0 252 m from the equilibrium point and released from rest Determine a the spring stiffness constant k

1 The switch in the circuit in Fig P7 1 has been open E for a long time At t 0 the switch is closed a Determine i 0 and i x SIM b Determine i t for t 0 c How many milliseconds after the switch has been closed will i equal 100 mA GETY Figure P7 1 20 V 16 0 40 12 Q t 0 80 www io 80 mH

The position of a particle as it moves horizontally is described by s t 2 sint sin 2t If s is the displacement in metres and t is the time in seconds where 0 1 6 Determine the velocity of the particle when t 3sec When is the particle moving in the positive direction te 1 047 1 823 When is the particle speeding up a b c 0 06 te 0 1 U 5 24 6 3 14 4 46 U 5 23 6

as a model car will move down a ramp as expressed by the acceleration vector a measured in units of meters per second squared Two lab partners Shelly an Nancy are trying to decide on a coordinate system to use Shelly has proposed the green coordinate system representing the traditional x y directions Nancy has proposed the red coordinate system which points the x axis down the ramp A Calculate the x and y components of the acceleration vector in the green coordinate system B Calculate the x and y components of the acceleration vector in the red coordinate system C Which coordinate system would you recommend for Shelly and Nancy Why LOT Ev 18 a A T 4 Done C

A 0 500kg ball is placed on a ramp that is 3 00m tall and has a length of 11 0m The ba is given a slight shove so that it starts with a velocity of 2 00m down the ramp A What is it initial mechanical energy of the ball after th

velocity 100 ft sec and initial height 250 ft Find a velocity and acceleration after t seconds b velocity after 5 sec c time of travel to the highest point d time of tra from the highest point to the ground Equation of motion is h 32 where h t is the height of projectile at moment 1

A ball is thrown up into the air and reaches a maximum height Which of the following quantities increases as the ball falls from the maximum height gravitational potential energy acceleration force of gravity mass kinetic energy

Problem 2 Ball 1 with mass m 0 4 kg is initially moving in the direction with a speed 1 2 m sec and it collides with Ball 2 with mass m 0 3 kg which is initially at rest After the collision Ball 1 is moving at a speed of 0 9 m sec at 12 from the original direction a What is 12 the speed of Ball 2 after the collision b What is 0 the direction of Ball 2 after the collision V 1 2 m sec m 0 4 kg Initial m 0 3 kg V2 1 0 Final 0 9 m sec V1 f m 0 4 kg 12 m 0 3 kg 10 V2

4 Suppose a 0 04 kg car traveling at 2 00 m s can barely break an egg What is the minimum speed a 0 08 kg car would need to have in order to break the egg O A 1 42 m s O B 1 00 m s OC 0 80 m s O D 2 00 m s

A student is rushing to class and collides with a vice principal who has a mass of 100 kg and was standing still just before the collision The collision lasted for 0 020 s and after the collision the VP s velocity was the impulse applied to the VP and the force of the collision What was 0 67 m s

Standing on the edge of a tall cliff a curious man drops a rock m and 1 00 s later throws a second rock m m downwards with a speed of 19 6 The mass of the second rock m is twice the mass of m S Assume no friction from air Determine the acceleration of the center of mass of the system 4 seconds later Give your answer to two significant figures

1 point The velocity of a particle moving along the x axis is given by f t 12 4t cm sec Use a graph of f t to find the exact change in posit of the particle from time t 0 tot 4 seconds change in position include units

An airplane flies at 500 mph on a bearing of 120 degrees At the same time a wind blows on 75 mph on a bearing of 250 degrees Sketch a picture to represent the situation Draw and label the resultant vector Find the magnitude of the resultant vector Find the bearing of the resultant vector

08 05 MC A tennis player hits the ball with an initial speed of 55 feet per second at an angle of 17 from a height of 1 8 feet How far away does the ball land in feet O53 406 feet 58 208 feet O61 988 feet O64 254 feet

Determine the net force in N necessary to give an object with a mass of 2 00 kg an acceleration of 3 30 m N

Poor Dinanath D is thrown into a circular arena of radius a containing a lion L Initially the lion is at the centre O of the arena while Dinanath is at a 0 Dinanath decides to run at maximum speed u around the perimeter The lion responds by running at its maximum speed v in such a way that it remains on the moving radius OD Choose the correct statement s 0 During the chase distance between lion and Dinanath at time t is a If a 10m u 5 m s and v 10m s then lion catches Dinanath after ut tis a v sin 4 u a Path followed by lion is circle Path followed by lion is hyperbola kim S O a u

A ball is rolling parallel to the long end of a smooth horizontal table When the ball reaches point P the table is rapidly given a small tilt by lifting the long left side such that the surface is rotated around the direction the original motion of the ball before the thing P Which path below represents the trajectory of the ball correctly the original path straight line at angle to the slope the skye path before Wing parabola which way does the ball go after the thing deaction down direction down the slope retation around the original path

A golf ball is hit with an initial velocity of 170 feet per second at an inclination of 45 to the horizontal In physics it is established that the height h of the golf ball is given by the function 32x h x 170 where x is the horizontal distance that the golf ball has traveled Complete parts a through g X a Determine the height of the golf ball after it has traveled 100 feet h feet Round to two decimal places as needed b What is the height after it has traveled 250 feet h feet Round to two decimal places as needed c What is h 400 Interpret this value h 400 feet Round to two decimal places as needed Interpret the value of h 400 Choose the correct answer below and fill in the answer box to complete your choice feet OA At a height of 400 feet the horizontal distance traveled by the golf ball is OB The height of the golf ball after it has traveled a horizontal distance of 400 feet is d How far was the golf ball hit lon 4 point s possible feet