Question 4: A particle is thrown into air with initial speed vo making angle 0 with the horizontal as shown in Figure 1. The gravitational acceleration g and a constant acceleration au due to a wind act on the particle. Find the range of the motion. a Figure 1 100

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Consider the motion of a soccer ball that is kicked from the point (Xo-Yo) = (0,0) with an initial velocity of (uovo) = (40,8) m/s. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors for t≥ 0. b. Graph the trajectory. c. Determine the time of flight and range of the soccer ball. d. Determine the maximum height of the soccer ball.