Question

A cart is driven by a large propeller or fan, which can accelerate or decelerate the cart. The cart starts out at the position x = 0 m, with an initial velocity of + 3.3 m/s and a constant acceleration due to the fan. The direction to the right is positive. The cart reaches a maximum position of x = + 11.6 m, where it begins to travel in the negative direction. Find the acceleration of the cart.