Agolf ball is struck at ground level. the speed of the golf ball as a function of the time is shown in figure 4-36, where t = 0 at the instant the ball is struck. the scaling on the vertical axis is set by va=16 m/s and vb=32 m/s. answer the following questions:

(a) how far does the golf ball travel horizontally before returning to ground level?
(b) what is the maximum height above ground level attained by the ball?

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.