Afootball is kicked and leaves the ground at an angle 37.0° with a velocity of 20.0 ms^-1. calculate the maximum height, the time of travel before the football hits the ground and how far away it hits the ground. assume the ball leaves the foot at ground level, and ignore air resistance and rotation of the ball.

Explanation:

U = 20m/s, theta = 37 degree

The formula for maximum height of a projectile is given by

H = u^2 × Sin^2 theta / 2g

H = 20 × 20 × Sin^2 (37)/ 2 × 9.8

H = 7.35 m

The formula for time of flight is given by

T = 2sin theta / g

T = 2 × 20 × Sin 37/ 9.8

T = 2.45 second

The formula for horizontal range is given by

R = u^2 Sin 2 theta/ g

R = 20 × 20 × Sin 2 × 37/ 9.8

R = 39.24 m

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