One main scale division of a vernier caliper is equal to \( m \) units. If the \( m \) divisions of the main scale coincide with the \( (n + 1)^{\text{th}} \) division of the vernier scale, the least count of the vernier caliper is:
A particle is moving in a straight line. The variation of position $ x $ as a function of time $ t $ is given as:
$ x = t^3 - 6t^2 + 20t + 15 $.
The velocity of the body when its acceleration becomes zero is: