Motion, projectile motion and momentum - AS level

Fig. 4.2 shows a tennis ball moving up a smooth ramp at time t = 0.

Fig. 4.3 shows a graph of velocity v against time t for this ball.

Select all the correct statements (select as many answers as you need).

• The ball has constant negative acceleration

• At t = 1.5 s the balls velocity is briefly 0 m/s

• The object has a constant negative velocity.

• At t = 1.5 s the ball is at the top of the ramp.

• The final displacement of the ball in 0 m.

Fig. 4.2 shows a tennis ball moving up a smooth ramp at time t = 0.

Fig. 4.3 shows a graph of velocity v against time t for this ball.

What is the maximum distance traveled by the ball up the ramp? (answer with units).

Two cars, A and B, are travelling clockwise at constant speeds around the track shown in Fig. 16.1.

The track consists of two straight parallel sections each of length 200 m, the ends being joined by semi-circular sections of diameter 80 m.

The speed of A is 20 ms⁻¹ and that of B is 23 ms⁻¹.

Calculate the time for A to complete one lap of the track in seconds.

(answer to 2 sig fig, no unit needed)

Two cars, A and B, are travelling clockwise at constant speeds around the track shown in Fig. 16.1.

The track consists of two straight parallel sections each of length 200 m, the ends being joined by semi-circular sections of diameter 80 m.

The speed of A is 20 ms⁻¹ and that of B is 23 ms⁻¹.

How long till Car B catches Car A in seconds?

(answer to 3 sig fig, no unit needed)

A car accelerates uniformly from rest along a level road.

The effects of air resistance on the car are negligible.

The car travels 12 m in the second second of its journey.

How far does it travel in the fourth second?

• 28 m

• 35 m

• 48 m

• 64 m

A ball is thrown with an initial velocity at an angle to the horizontal.

Air resistance has negligible effect on the motion of the ball.

While it is in flight, which graph shows the correct variation of the ball's horizontal velocity v with time t?

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A girl standing on a bridge throws a coin upwards with a vertical velocity of 5.0 m s⁻¹. It hits the water below the bridge after 1.5 seconds. Assuming that the effects of air resistance are negligible, what was the initial height of the coin above the water?

• 1.3 m

• 3.5 m

• 7.5 m

• 18.5 m

An object is initially at rest. A constant force is applied to the object and it moves in a straight line with constant acceleration. After a time t, the object has displacement s and velocity v.

Which of the following will not produce a straight line graph?

• A graph of v against t.

• A graph of s against v.

• A graph of s against t².

• A graph of v² against s.

A car travels a distance 166 ± 2 m in a time 5.2 ± 0.1 s.

What is the best estimate of the speed of the car?

• 32 ± 1 m s⁻¹

• 32.0 ± 2.1 m s⁻¹

• 32.0 ± 0.2 m s⁻¹

• 32 ± 0.999 m s⁻¹

A ball is launched horizontally at 5 m s⁻¹ from the end of a table. The ball is in flight for 0.4 s before it lands on the floor. The ball is now launched from the end of the same table with a horizontal velocity 10 m s⁻¹.

What is the new time of flight of the ball?

• 0.2 s

• 0.4 s

• 0.5 s

• 0.8 s