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

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.