A projectile is fired with an initial speed of 37.0 m/s at an angle of 43.7 ∘ above the horizontal on a long flat firing range. What is the maximum height.

The maximum height reached by the projectile is 33.34 m

Explanation:

Given;

initial velocity of the projectile, u = 37 m/s

angle of projection, θ = 43.7°

The maximum height reached by the projectile = ?

Apply the following kinematic equation, to determine the maximum height reached by the projectile.

Maximum height (H) is given as;

Therefore, the maximum height reached by the projectile is 33.34 m

e) none of the above answers are correct

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.