A ball is thrown from a point 1.38 m above the ground. The initial velocity is 19.9 m/s at an angle of 33.8° above the horizontal. Find the maximum height of the ball above the ground.

Calculate the speed of the ball at the highest point in the trajectory.

1 answer

looking at energy, at the highest point, the ball will have no vertical KE, so total energy will be initial PE+initialKE

topenergy=initial energy
1/2 mVhoriz^2+mg(height)=1/2 m19.9^2+mg(1.38)

where Vhoriz=19.9cosine33.8deg
solve for height.

and Vhoriz is the speed at the hightest point.