Calculus for Kinematics (Edexcel IGCSE Further Pure Maths): Exam Questions

A particle is moving along the -axis.

At time seconds the acceleration, m/s² , of is given by

When, is at rest.

Find the velocity of when

At time seconds, , is instantaneously at rest.

Find the value of

When , is at the point with coordinates

Find the displacement of from the origin when

A particle is moving along a straight line.

At time seconds , the velocity, m/s, of is given by

Find the values of when is instantaneously at rest.

At time seconds the acceleration of is m/s²

Find the range of values of for which

Find the distance, in m, that travels in the interval

A particle is moving along the -axis. At time seconds, , the velocity, , of is given by

Find the acceleration, in , of when

A particle is moving along the -axis. At time seconds, , the velocity, , of is given by

comes to instantaneous rest at the points and at times seconds and seconds where

Find the exact distance

A particle moves along the -axis.

At time seconds the acceleration, , of is given by

When , is at the origin and is moving with velocity 12 .

Find an expression in terms of for

(i) the velocity of at time seconds

(ii) the displacement of at time seconds.

A particle moves along the -axis.

At time seconds the acceleration, , of is given by

When , is at the origin and is moving with velocity 12 .

Hence find the time at which first returns to the origin.