Calculus in kinematics

A particle is moving along a straight line that passes through the fixed point O The displacement, s metres, of the particle from O at time t seconds is given by

Find the value of t when the acceleration of the particle is 5 m/s²

A particle P moves along a straight line. The fixed point O lies on this line.

The displacement of P from O at time t seconds, t 1, is s metres where

The velocity of P at time t seconds, t 1, is vm / s Work out the distance of P from O at the instant when v = 0

A particle P moves along a straight line that passes through the fixed point O

The displacement, x metres, of P from O at time t seconds, where t 0, is given by

The direction of motion of P reverses when P is at the point A on the line.

The acceleration of P at the instant when P is at A is am / s²

Find the value of a

A particle P is moving along a straight line. The fixed point O lies on the line.

At time t seconds (t 0), the displacement of P from O is s metres where

Find the minimum speed of P.

A particle moves along a straight line. The fixed point O lies on this line. The displacement of the particle from O at time t seconds, t 0, is s metres where

At time T seconds the velocity of P is V m/s where V −5 Find an expression for T in terms of V.

A particle P is moving along a straight line. The fixed point O lies on this line.

At time t seconds, the displacement, s metres, of P from O is given by

At time t seconds, the velocity of P is v m/s.

Find an expression for v in terms of t.

Find the time at which the acceleration of the particle is 6 m/s²

A particle P is moving along a straight line that passes through the fixed point O. The displacement, s metres, of P from O at time t seconds is given by

Find the value of t for which the acceleration of P is 3 m/s²