List of top Physics Questions on Motion in a straight line asked in BITSAT

A particle moves along a straight line such that its position is given by \( x(t) = 3t^2 - t^3 \). What is its velocity at \( t = 2 \) seconds?
A train accelerating uniformly from rest attains a maximum speed of \(40 \text{ m s}^{-1}\) in 20 s. It travels at this speed for 20 s and is brought to rest with uniform retardation in further 40 s. What is the average velocity during the period?

A body moves with uniform acceleration, then which of the following graph is correct? 

The position x of a particle varies with time t as x = At² - Bt³. The acceleration at the time of the maximum velocity will be equal to zero. What is the value of t?