A hill can be modeled by a parabolic curve with . 2 equation 3! 2 cx where x :3 0. A block of mass n1 starts at (0, 0) and starts to slide down the hill. a. Draw a free-body diagram of the forces on the block as it slides down the hill. 1). Determine the speed of the block in terms of the c and x-coordinate. c. Determine the x-coordinate at which the block leaves the hill in terms of c and fundamental constants. d. On the axis below, draw a graph of the block's y-coordinate as a function of time t where t1 is the time at which the block leaves the hill. e. An identical block is placed on a circular shaped hill at (U, U) and slides down, which modeled by the equation x2 + [y + T]2 = 7'2 where x 2 CI. Assuming that the block on the circular hill leaves at the same X and y coordinates as the parabolic hill, which block leaves the hill in less time? Block on parabolic hill Block on circular hill The times are equal Justify your