How far does the football travel horizontally before it hits the ground?
A football is kicked with a speed of 18 m/s at an angle of 65 degrees to the horizontal.
a) How far does the football travel horizontally before it hits the ground?
b) What are the respective horizontal and vertical components of the initial velocity of the football?
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Figure out b) first.
Vh = Vo*cos(65)
Vv = Vo*sin(65)
a) Vvf = Vv + g*t
where Vvf is final vertical velocity, Vv is initial vertical velocity g = 9.8 m/s^2, and t is time to return to earth. When it returns to earth it will have the same vertical speed it started with, in the opposite direction. Vvf = -1*Vv. Solve for t.
Vh = x/t
where x is the distance it travels horizontally. sojsail