I. One dimensional motion with constant acceleration A. A small cart is given a strong push up on an incline plane. We are concerned only with its motion along the plane. a. On the figure below, draw a motion map for the motion of the cart from immediately after getting pushed until it gets back to the bottom of the plane. Assume that the location of the cart shown below is where it is after being pushed and that the turnaround point is close to the top of the plane. For clarity, draw the dots on the way up above the line of the incline and the ones on the way down below. b. Use the motion map you drew to plot the position vs. time of the cart. Assume that the cart starts at x = 0 and that the positive direction is up along the incline plane. Note that X top denotes the maximum distance reached by the cart on the incline and ttop is the time when this happens. Xtop x trop t c. On the coordinate axes below, plot the velocity vs. time of the object. Note that vi denotes the initial velocity of the cart immediately after being pushed. v Vi trop t d. What is the velocity of the cart at the top of its trajectory? Does it agree with your two graphs? Why? e. What is the sign of the velocity on the way down? Does it agree with your two graphs? Why?