Additional Practice: Projectile Motion

Additional Practice: Projectile Motion

This worksheet is practice, and will be included as a journal entry—it should be entered into your journal by next Friday (quiz day). You could just solve your problems on a separate sheet of notebook paper rather than printing this off. The answer key will be supplied at another link in the assignment calendar and on the Mechanics page. Completing the WebAssign and this worksheet will help you best prepare for next week’s quiz on projectiles.

1.This question is about projectile motion.

A small steel ball is projected horizontally from the edge of a bench. Flash photographs of the ball are taken at 0.10 s intervals. The resulting images are shown against a scale as in the diagram below.

(a)Use the diagram to determine

(i)the constant horizontal speed of the ball.

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(2)

(ii)the acceleration of free fall.

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(2)

(b)Mark on the diagram the position of the ball 0.50 s after projection.

In the space below, you should carry out any calculations so that you can accurately position the ball.

......

(3)

(c)A second ball is projected from the bench at the same speed as the original ball. The ball has small mass so that air resistance cannot be neglected. Draw on the diagram the approximate shape of the path you would expect the ball to take.

(3)

(Total 10 marks)

2.This question is about trajectory motion.

Antonia stands at the edge of a vertical cliff and throws a stone upwards at an angle of 60° to the horizontal.

The stone leaves Antonia’s hand with a speed v = 8.0 m s–1. The time between the stone leaving Antonia’s hand and hitting the sea is 3.0 s.

The acceleration of free fall g is 10 m s–2 and all distance measurements are taken from the point where the stone leaves Antonia’s hand.

Ignoring air resistance calculate

(a)the maximum height reached by the stone.

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(3)

(b)the horizontal distance travelled by the stone.

......

(2)

(Total 5 marks)

3.This question is about the trajectory of a golf ball.

A golfer hits a golf ball at point A on a golf course. The ball lands at point D as shown on the diagram. Points A and D are on the same horizontal level.

The initial horizontal component of the velocity of the ball is 20 m s–1 and the initial vertical component is 30 m s–1. The time of flight of the golf ball between point A and point D is 6.0 s. Air resistance is negligible and the acceleration of free fall g = 10 m s–2.

Calculate

(a)the maximum height reached by the golf ball.

......

(3)

(b)the range of the golf ball.

......

(2)

(Total 5 marks)

4.This question is about projectile motion.

A ball is projected from ground level with a speed of 28 m s–1 at an angle of 30 to the horizontal as shown below.

There is a wall of height h at a distance of 16 m from the point of projection of the ball. Air resistance is negligible.

(a)Calculate the initial magnitudes of

(i)the horizontal velocity of the ball;

......

(1)

(ii)the vertical velocity of the ball.

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(1)

(b)The ball just passes over the wall. Determine the maximum height of the wall.

......

(3)

(Total 5 marks)