The acceleration of an autonomous cart on a straight test route varies linearly with time. Its acceleration is -2 m s-2 at t=0t=0t=0 and 4 m s-2 at t=3t=3t=3 s. Its velocity at t=0t=0t=0 is 1 m s-1.
Find an expression for the acceleration at time ttt.
Find the velocity of the cart at t=3t=3t=3 s.
Find the displacement of the cart in the first 3 s.