A drunk college student decides to try to do a perfect swan dive from his apartment window into the pool below. The edge of the pool is 5 meters from the base of the building and his window is on the 3rd floor, which is 8 meters from the ground. If he jumps out the window horizontally at a speed of 4 m/s, does he make it into the water or..

He barely makes it but hit his leg on the pool edge.

Explanation:

Using kinematic formula: Δx=

We can plug in delta x, v zero, and acceleration.

delta x = 8 meters, v0 = 0. a = 9.8

8=(1/2)9.8*t^2

Around 1.278 seconds of airtime.

4 * 1.278 = 5.112 meters horizontally assuming no air resistance

That was close!

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.