Question 12

A particle moves along a straight line and passes a fixed point with a velocity of Its acceleration, , at time seconds after passing is given by . [Assume movement to the right as positive.] (a) Find the maximum velocity, in , of the particle.

(b) Find the time, in seconds, after the particle passes the fixed point again.

(c) Sketch a velocity-time graph for the movement of the particle for .

(d) Next, find the total distance, in m, travelled by the particle in the first 3 seconds.