Question

A moving trolley moves at a velocity of m/s⁻¹ as it crosses a checkpoint (A). It continues moving until it reaches a checkpoint (C), just after it passes a checkpoint (B) with a velocity of

Q m/s⁻¹ .

A. Explain what happened to the trolley between point A and B if:
i) P>Q
ii) Piii) P=Q

B.
i) State the velocity of the trolley at checkpoint (C).
ii) Based on your answer in (B.i) above, state the mechanical process that took place between B and C.

Answer 1

If P > Q, the trolley decelerates; if P < Q, the trolley accelerates; and if P = Q, the trolley moves at a constant speed. The velocity at checkpoint C depends on the movement between B and C.

Step-by-step explanation:

i) If P > Q, it means that the velocity of the trolley at checkpoint B is less than the velocity at checkpoint A. This indicates that the trolley is decelerating between point A and B.

ii) If P < Q, it means that the velocity of the trolley at checkpoint B is greater than the velocity at checkpoint A. This indicates that the trolley is accelerating between point A and B.

iii) If P = Q, it means that the velocity of the trolley at checkpoint B is equal to the velocity at checkpoint A. This indicates that the trolley is moving at a constant speed between point A and B.

i) The velocity of the trolley at checkpoint C would depend on the acceleration or deceleration between point B and C. Without additional information, we cannot determine the exact velocity at checkpoint C.

ii) Based on the answer in (B.i), the mechanical process that took place between point B and C could be acceleration, deceleration, or maintaining a constant speed.