Question

Acceleration of a particle varies as `a = v^2`, where v is the velocity of particle. If initially the particle was at rest, then?

A) particle starts moving with non-uniform acceleration.
B) particle does not starts moving.
C) particle starts moving with uniform acceleration.
D) none of these.
The answer is C for your reference. ( however it may be wrong)!

Answer 1

The acceleration is `a = v^2`

However initially, `v = 0` and therefore, `a=0` and hence the particle doesn't start moving at all.

Unless you supply the particle with some initial velocity, it can have no acceleration and hence it doesn't move at all.