Question

Problem 1: A particle is placed motionless at a point 12m to the right of the origin. Its acceleration as a function of time is a = -30 + 30t.

Find an expression for the position x of the particle as a function of time t, as it moves along the straight line, also plot the curve x(t).Find the total distance travelled from t = 0 to t = 3s.

Fig: 1