Question 4 (a) Point P moves along the r-axis in such a way that its position at time t/s is given by x = 2t3 – 15t2 +24t ft i. Find the velocity and acceleration of P at time t ii. In which direction and how fast is P moving at t = 2s? Is it speeding up or slowing down at that time ? ii. When is P instantaneously at rest ? When is its speed instantaneously not changing?

Question 4 (a) Point P moves along the r-axis in such a way that its position at time t/s is given by x = 2t3 – 15t2 +24t ft i. Find the velocity and acceleration of P at time t ii. In which direction and how fast is P moving at t = 2s? Is it speeding up or slowing down at that time ? ii. When is P instantaneously at rest ? When is its speed instantaneously not changing?