question_answer

A cyclist starts from centre O and reaches at R along the path OPR as shown in graph. What would you conclude from the velocity- time graph of the cyclist from the given graph?

A) Velocity changes linearly if acceleration is changing non-linearly.

B) Velocity becomes zero if acceleration becomes zero.

C) Velocity changes non-linearly if acceleration is changing linearly.

D) Velocity becomes uniform if acceleration becomes infinite.

Correct Answer: C

Solution :

\[\text{As }{{\text{v}}^{\text{2}}}\text{= }{{\text{u}}^{\text{2}}}\text{ + 2as}\] We get, \[{{\text{v}}^{2}}\propto a\] Thus velocity changes non-linearly if acceleration is changing linearly. As acceleration becomes zero, velocity becomes uniform.