Motion in straight line

If the law of motion in a straight line is s=(1)/(2)vt , then acceleration is

A particle moves with a simple harmonic motion in a straight line, in the first second starting from rest it travels a distance a and in the next second it travels a distance b in the same direction. The amplitude of the motion is

A particle makes simple harmonic motion in a straight line 4 cm long. Its velocity while passing through the centre of the line is 16 cm s^(-1) . The period of the oscillation is

A particle moves with simple harmonic motion in a straight line. When the distances of the particle from the equilibrium position are x_(1) and x_(2) , the corresponding velocities are u_(1) and u_(2) . Find the period of the moton.

A particle moves with simple harmonic motion in a straight line. In first taus , after starting form rest it travels a destance a, and in next tau s it travels 2a, in same direction, then:

A particle is performing simple harmonic motion on a straight line with time period 12 second. The minimum time taken by particle to cover distance equal to amplitude will be

Assertion : Distance-time graph of the motion of a body having uniformly accelerated motion is a straight line inclined to the time axis. Reason : Distance travelled by a body having uniformly accelerated motion is directly proportional to the square of the time taken.

if a=3t^(2)+2t , initial velocity is 5 m//s . Find the velocity at t=4s. The motion is in straight line, a is acceleration in m//s^(2) and t is time in seconds.