Asmall dense ball with mass 1.5 kg is thrown with initial velocity < 3, 6, 0 > m/s at time t = 0 from a location we choose to call the origin (< 0, 0, 0 > m). air resistance is negligible.
(a) when the ball reaches its maximum height, what is its velocity? it may to make a simple diagram.
(b) when the ball reaches its maximum height, what is t? you know how upsilon_y depends on t and you know the initial and final velocities.
(c) at a later time the ball's height y has returned to zero, which means that the arithmetic average value of upsilon_y from t - 0 to this time is zero. at this instant, what is the time t?
(d) at the time calculated in part (c), when the ball's height y returns to zero, what is x? (this is called the "range" of the trajectory.)
(e) what was the angle to the x-axis of the velocity at the time calculated in part (c), when the ball's height y returned to zero?