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Question 3

Ball A is projected vertically upwards at a velocity of 16 m∙s-1 from the ground. Ignore the effects of air resistance. Use the ground as zero reference.

3.1 Calculate the time taken by ball A to return to the ground. (4)

3.2 Sketch a velocity-time graph for ball A.

Show the following on the graph:

(a) Initial velocity of ball A
(b) Time taken to reach the highest point of the motion
(c) Time taken to return to the ground (3)

ONE SECOND after ball A is projected upwards, a second ball, B, is thrown vertically downwards at a velocity of 9 m∙s-1 from a balcony 30 m above the ground. Refer to the diagram below.

3.3 Calculate how high above the ground ball A will be at the instant the two balls pass each other. (6)

[13]

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