The position of a particle is given by x 31 cos t where x

Question

The position of a particle is given by x = 3.1 cos t, where x is in meters and t is in seconds.

a) Find the maximum speed and maximum acceleration of the particle.

..... m/s

..... m/s²

b) Find the speed and acceleration of the particle when x = 2.5 m.

..... m/s

..... m/s²