A football of mass m
is thrown at an initial velocity of magnitude v0
at an angle of θ
above the horizontal, as shown. The ball reaches a maximum height h
. Choose the zero of gravitational potential energy to be at ground level.
Part A) Give an expression for the initial velocity vector in Cartesian unit-vector form. Write your answer in terms of v0
, θ
, and the unit vectors i^
and j^
.
Part B) In terms of the variables given in the problem statement, write an expression for the gravitational potential energy of the football at the peak of its trajectory.
Part C) If m=1.00kg
, v0=7.78m/s
, and θ=41.7∘
, then how high, in meters, did the ball travel?
