A football of mass m = 1 kg is thrown at an initial velocity of v0 = 5 m/s at an angle of = 38 with respect to the horizontal. The ball reaches a maximum height of h. Let gravitational potential energy be zero at ground level.

a) Give an expression for the initial velocity vector in rectangular form. Write your answer in terms of v0, , and the unit vectors i and j.

(b) Write an expression for the potential energy, Ug, of the football at the peak of its trajectory, in terms of the variables given in the problem statement.

(c) How high did the ball travel, h, in meters?