A small dense ball with mass1.6kg is thrown with initial velocity (6,6,0) m/s at time t=0 at a location we choose to call the origin (0,0,0). Air resistance is negligible.

(a) When the ball reaches its maximum height, what is its velocity (a vector)? It may help to make a simple diagram. (Express your answer in vector form.) (b) When the ball reaches its maximum height, what ist? You know how

v_y depends ont, and you know the initial and final velocities. (c) Between the launch at t= 0 and the time when the ball reaches its maximum height, what is the average velocity (a vector)? You know how to determine average velocity when velocity changes at a constant rate. (Express your answer in vector form.) (d) When the ball reaches its maximum height, what is its location (a vector)? You know how average velocity and displacement are related. (Express your answer in vector form.) (e) At a later time the ball's heightyhas returned to zero, which means that the average value of

v_y from t= 0 to this time is zero. At this instant, what is thetimet? (f) At the time calculated in part (e), when the ball's heightyreturns to zero, what isx? (This is called the "range" of the trajectory.) (g) At the time calculated in part (e), when the ball's heightyreturns to zero, what is

v_y? (Indicate the direction with the sign of your answer.) (h) What was the angle to thexaxis of the initial velocity?counterclockwise from the +xaxis (i) What was the angle to thexaxis of the velocity at the time calculated in part (e), when the ball's heightyreturned to zero? counterclockwise from the +xaxis