(11%) Problem 9: A football of mass m = 1 kg is thrown at an initial velocity of
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(11%) Problem 9: A football of mass m = 1 kg is thrown at an initial velocity of vo 9 m/s at an angle of = 39° with respect to the horizontal. The ball reaches a maximum height of h. Let gravitational potential energy be zero at ground level. h+ Vo Otheexpertta.com , and the unit 33% Part (a) Give an expression for the initial velocity vector in rectangular form. write your answer in terms of vectors i and j 33% Part b) Write an expression for the potent ial energy, Ug. of the football at the peak of its trajectory, in terms of the variables given in the problem statement Grade Summary Deductions 0% Potential 100% 7 8 9 4 5 6 cos(6) sin(0) a Attempts remaining: 2 % per attempt) etailed view 0% 0% Vo Submit Hint Feedback: 0% deduction per feedback. Hints: 0% deduction per hint. Hints remaining:- 33% Part (c) How high did the ball travel, h, in meters?Explanation / Answer
formula for maximum height reached by the projectile is
Hmax = ( vo sin theta)^2/ 2g
the potential energy at this peak position is
Ug = mg Hmax
= mg (( vo sin theta)^2/ 2g)
= m( vo sin theta)^2/ 2
=0.5 m vo^2 sin^2 theta
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