posted by ODU .
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 +6.4 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 = +14.5 m, where it begins to travel in the negative direction. Find the acceleration of the cart.
V^2 = Vo^2 + 2ad = 0
a = -Vo^2/2d = -(6.4)^2/29 = -1.41 m/s^2