The x and y positions (in meters)of a particle are given by: x(t)= 253 t,and y(t)= -12.0 t2 + 155 t + 100.The magnitude of the particle's acceleration at t = 12.9 s is

A) 0 m/s2. B) -12.0 m/s2. C) 12.0 m/s2. D) -24.0 m/s2. E) 24.0 m/s2. A) 0 m/s2. B) -12.0 m/s2. C) 12.0 m/s2. D) -24.0 m/s2. E) 24.0 m/s2. E

A cannon shell is shot horizontally from the top of a 50-m tall cliff at a speed of 5 m/s and an angle of 30S1U1P1$\circ$S1S1P0 above the horizontal.How far from the base of the cliff does the cannon shell hit the ground?

A) 11.2 m B) 12.4 m C) 30.1 m D) 7.63 m E) 15.0 m A) 11.2 m B) 12.4 m C) 30.1 m D) 7.63 m E) 15.0 m

In 1971,Alan Shepard hit two golf-balls on the surface of the Moon (where the acceleration due to gravity is only 1.62 m/s2).If the launch angle was 27S1U1P1$\circ$S1S1P0 and the ball traveled 400 m,what was the initial speed of the ball?

A) 28 m/s B) 38 m/s C) 70 m/s D) 801 m/s A) 28 m/s B) 38 m/s C) 70 m/s D) 801 m/s

A projectile is launched at a speed 10.0 m/s at angle of 20.0S1U1P1$\circ$S1S1P0 above horizontal.What is the magnitude of its acceleration at maximum height?

A) 0.0 m/s2 B) 9.40 m/s2 C) 9.81 m/s2 D) 19.8 m/s2 A) 0.0 m/s2 B) 9.40 m/s2 C) 9.81 m/s2 D) 19.8 m/s2

What is the range of a football punted with an initial velocity of 24 m/s kicked at an angle of 51S1U1P1$\circ$S1S1P0 above the horizontal? The ball leaves the punter's foot at an initial height of 1.1 m and is allowed to hit the ground.

A) 35.5 m B) 57.5 m C) 58.3 m D) 61.8 m A) 35.5 m B) 57.5 m C) 58.3 m D) 61.8 m

What is the maximum height of a projectile shot at an angle of 25S1U1P1$\circ$S1S1P0 with respect to the horizontal and initial speed of 22 m/s?

A) 8.86 m B) 4.41 m C) 20.28 m D) 10.14 m E) None are correct.More information is needed. A) 8.86 m B) 4.41 m C) 20.28 m D) 10.14 m E) None are correct.More information is needed.

A roller coaster in an amusement park first goes up an incline of length 70 m and at an angle of 38S1U1P1$\circ$S1S1P0 to the horizontal.It then goes straight along the horizontal for 20 m.It finally goes down a 30 m long ramp with an angle of 60S1U1P1$\circ$S1S1P0 relative to the horizontal.What is the displacement of the roller coaster at that point relative to its starting point? (Hint: Notation: (x,y);It really helps to make a drawing here.)

A) (90 m,17 m) B) (120 m,0 m) C) (120 m,17 m) D) (90 m,0 m) E) (120m,69m) A) (90 m,17 m) B) (120 m,0 m) C) (120 m,17 m) D) (90 m,0 m) E) (120m,69m)

Exam 3: Motion in Two and Three Dimensions

The x and y positions (in meters)of a particle are given by: x(t)= 253 t,and y(t)= -12.0 t² + 155 t + 100.The magnitude of the particle's acceleration at t = 12.9 s is

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Question 1

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If the launch speed of a kicked football was doubled,then by what factor would its hang time increase?

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A human cannonball is launched from a height of 2.0 m at an angle of 55 degrees with respect to horizontal and an initial speed of 18 m/s.How much time elapses before the human cannon ball lands in the net,which is also 2.0 m above the ground?

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Question 3

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Two boats leave the port at the same time.Boat A has a velocity of m/s and boat B has a velocity of m/s as measured by someone standing at the port ( and are unit vectors along the x-axis and the y-axis respectively).What is the position vector of boat B as seen by a person travelling on boat A after 60 seconds has elapsed? Give your answer as magnitude and direction.

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Question 4

A rock is thrown horizontally from a bridge 55 m high with a velocity of 8 m/s.How far does the rock travel horizontally before hitting the water?

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Question 5

A cannon shell is shot horizontally from the top of a 50-m tall cliff at a speed of 5 m/s and an angle of 30^$\circ$ above the horizontal.How far from the base of the cliff does the cannon shell hit the ground?

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Question 6

A ball is thrown from the ground.Its velocity after 4 seconds is (15 -3 )m/s.the range of the ball is

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Question 7

A battleship shoots a projectile A at a target at an angle of 30^$\circ$ with respect to the horizontal.Simultaneously,it shoots a projectile B at the same target at an angle of 60^$\circ$ with respect to the horizontal.Which projectile hits the target first?

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Question 8

Bill is riding a flatbed railroad car travelling down the tracks at 16 m/s.The instant he passes Ted on the side of the train tracks,he throws a water balloon at him.At what angle relative to the train's direction of motion must Bill throw the balloon in order to hit Ted squarely in the face,assuming he can throw an object with a speed of 24 m/s?

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Question 9

In 1971,Alan Shepard hit two golf-balls on the surface of the Moon (where the acceleration due to gravity is only 1.62 m/s²).If the launch angle was 27^$\circ$ and the ball traveled 400 m,what was the initial speed of the ball?

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Question 10

A ball is thrown horizontally from a 48.0 m high building with a speed of 28.0 m/s.What is the magnitude of the velocity when it hits the ground?

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Question 11

A ball is thrown horizontally from a 58.0 m high building with a speed of 36.0 m/s.What is the direction of the ball's velocity,relative to the horizontal when it hits the ground?

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Question 12

A skier leaves a ski jump with a horizontal velocity (and no vertical velocity component).If the magnitude of the vertical component of her velocity the instant before she lands is 25 m/s,how much time elapses between leaving the jump and landing?

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Question 13

A projectile is launched at a speed 10.0 m/s at angle of 20.0^$\circ$ above horizontal.What is the magnitude of its acceleration at maximum height?

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Question 14

What is the range of a football punted with an initial velocity of 24 m/s kicked at an angle of 51^$\circ$ above the horizontal? The ball leaves the punter's foot at an initial height of 1.1 m and is allowed to hit the ground.

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Question 15

The shot "heard 'round the world" was fired in Concord at the beginning of the American Revolution.The muskets of the day had minimal sights and often were aimed by merely looking down the barrel.If the bullet was fired horizontally with an initial speed of 250 m/s,how far did the bullet drop by the time it hit the British line,75 m away?

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Question 16

An object moves from a point with coordinates x = 0.0 m,y = -1.0 m,to a point with coordinates x = 8.0 m,y = -9.0 m in a time interval of 3.4 seconds.The magnitude of its the average velocity is

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Question 17

What is the maximum height of a projectile shot at an angle of 25^$\circ$ with respect to the horizontal and initial speed of 22 m/s?

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Question 18

A ball is thrown horizontally from a 49 m high building with a speed of 23 m/s.What is the horizontal component of the velocity when it hits the ground?

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Question 19

A roller coaster in an amusement park first goes up an incline of length 70 m and at an angle of 38^$\circ$ to the horizontal.It then goes straight along the horizontal for 20 m.It finally goes down a 30 m long ramp with an angle of 60^$\circ$ relative to the horizontal.What is the displacement of the roller coaster at that point relative to its starting point? (Hint: Notation: (x,y);It really helps to make a drawing here.)

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Question 20

Showing 1 - 20 of 73

Exam 3: Motion in Two and Three Dimensions

The x and y positions (in meters)of a particle are given by: x(t)= 253 t,and y(t)= -12.0 t2 + 155 t + 100.The magnitude of the particle's acceleration at t = 12.9 s is

If the launch speed of a kicked football was doubled,then by what factor would its hang time increase?

A human cannonball is launched from a height of 2.0 m at an angle of 55 degrees with respect to horizontal and an initial speed of 18 m/s.How much time elapses before the human cannon ball lands in the net,which is also 2.0 m above the ground?

A rock is thrown horizontally from a bridge 55 m high with a velocity of 8 m/s.How far does the rock travel horizontally before hitting the water?

A cannon shell is shot horizontally from the top of a 50-m tall cliff at a speed of 5 m/s and an angle of 30 ∘\circ∘ above the horizontal.How far from the base of the cliff does the cannon shell hit the ground?

A ball is thrown from the ground.Its velocity after 4 seconds is (15 -3 )m/s.the range of the ball is

A battleship shoots a projectile A at a target at an angle of 30 ∘\circ∘ with respect to the horizontal.Simultaneously,it shoots a projectile B at the same target at an angle of 60 ∘\circ∘ with respect to the horizontal.Which projectile hits the target first?

In 1971,Alan Shepard hit two golf-balls on the surface of the Moon (where the acceleration due to gravity is only 1.62 m/s2).If the launch angle was 27 ∘\circ∘ and the ball traveled 400 m,what was the initial speed of the ball?

A ball is thrown horizontally from a 48.0 m high building with a speed of 28.0 m/s.What is the magnitude of the velocity when it hits the ground?

A ball is thrown horizontally from a 58.0 m high building with a speed of 36.0 m/s.What is the direction of the ball's velocity,relative to the horizontal when it hits the ground?

A skier leaves a ski jump with a horizontal velocity (and no vertical velocity component).If the magnitude of the vertical component of her velocity the instant before she lands is 25 m/s,how much time elapses between leaving the jump and landing?

A projectile is launched at a speed 10.0 m/s at angle of 20.0 ∘\circ∘ above horizontal.What is the magnitude of its acceleration at maximum height?

What is the range of a football punted with an initial velocity of 24 m/s kicked at an angle of 51 ∘\circ∘ above the horizontal? The ball leaves the punter's foot at an initial height of 1.1 m and is allowed to hit the ground.

An object moves from a point with coordinates x = 0.0 m,y = -1.0 m,to a point with coordinates x = 8.0 m,y = -9.0 m in a time interval of 3.4 seconds.The magnitude of its the average velocity is

What is the maximum height of a projectile shot at an angle of 25 ∘\circ∘ with respect to the horizontal and initial speed of 22 m/s?

A ball is thrown horizontally from a 49 m high building with a speed of 23 m/s.What is the horizontal component of the velocity when it hits the ground?

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The x and y positions (in meters)of a particle are given by: x(t)= 253 t,and y(t)= -12.0 t² + 155 t + 100.The magnitude of the particle's acceleration at t = 12.9 s is

A cannon shell is shot horizontally from the top of a 50-m tall cliff at a speed of 5 m/s and an angle of 30^$\circ$ above the horizontal.How far from the base of the cliff does the cannon shell hit the ground?

A battleship shoots a projectile A at a target at an angle of 30^$\circ$ with respect to the horizontal.Simultaneously,it shoots a projectile B at the same target at an angle of 60^$\circ$ with respect to the horizontal.Which projectile hits the target first?

In 1971,Alan Shepard hit two golf-balls on the surface of the Moon (where the acceleration due to gravity is only 1.62 m/s²).If the launch angle was 27^$\circ$ and the ball traveled 400 m,what was the initial speed of the ball?

A projectile is launched at a speed 10.0 m/s at angle of 20.0^$\circ$ above horizontal.What is the magnitude of its acceleration at maximum height?

What is the range of a football punted with an initial velocity of 24 m/s kicked at an angle of 51^$\circ$ above the horizontal? The ball leaves the punter's foot at an initial height of 1.1 m and is allowed to hit the ground.

What is the maximum height of a projectile shot at an angle of 25^$\circ$ with respect to the horizontal and initial speed of 22 m/s?