A0.50 kg cart moves on a straight horizontal track. The graph of velocity Vx versus time t for the cart is given below of the trip that lasted for 9s Velocity (m/s) 5. 4. 3. 4. 8 Time (s) 3 -1 -2 -3 -4 a. Indicate every time t for which the cart is at rest. How do you know? Must utilize proper physics/mathematical terminology relating to the graph b. Indicate every time interval for which the speed (magnitude of velocity) of the cart is increasing. How do you know? Must utilize proper physics/mathematical terminology relating to the graph C. Determine the horizontal position x of the cart at t = 3.0 s if the cart is located at x = 2.0 m at t = 0. Must show all work d. A peer of yours created the following acceleration vs. time graph for the first 6.0s as shown below. Answer the following

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