Diagram 5.1 (a) shows a boy skating down a ramp from position
X.

Diagram 5.1 (b)shows the velocity-time graph of the boy from x to Z.

Diagram
5.2 (a)shows the same boy skating down from position
Y by using another ramp.

Diagram
5.2 (b)shows the velocity-time graph of the boy from Y to Z.

Both ramps are of the same slope and surface.

Question:

a. Name the physical quantity represented by the gradient of the velocity-time graph. [1 mark]

b. Observe Diagram 5.1 (a) and Diagram
5.2 (a).

i. Compare the gravitational potential energy of the boy at X and Y. [1 mark]

ii. Compare the velocity of the boy at
Z in these two situations. [1 mark]

iii. Compare the kinetic energy of the boy at
Z in these two situations. [1 mark]

c. Based on the answer in 5 (b),

i. state the relationship between the gravitational potential energy and kinetic energy of the boy.
[1 mark]

ii. State the physic concept involved.
[1 mark]

d. Based on Diagram 5.1 (a),

i. what happens to the velocity of the boy when he skates from
Z to Q? [1 mark]

ii. Give one reason for the answer in
5(d)(i). [ 1 mark] 

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