You are on the roof of the physics building of your school, 46.0 m above the ground. your physics professor, who is 1.80 m tall, is walking alongside the building at a constant speed of 1.20 m/s.
if you wish to drop an egg on your professor's head, where should the professor be when you release the egg, assuming that the egg encounters no appreciable air drag? express your answer in meters to three significant figures.

The professor should be 3.60 meters away from the place where the egg would fall.

Explanation:

To calculate this first we need to calculate the time it would take for the egg to fall the distance from the roof to the professor's head (46m-1.8m=44.2m).

The formula for free fall is:

y=1/2*g*

solving for t it would be

replacing

Now that we have the time it would take the egg to get from the roof to the desired height we need to calculate the distance the professor would travel in that time so we know to release the egg when he's exactly at that distance.

Since he is traveling at a constant speed the formula is

x=v*t

replacing

1.20m/s * 3.00 s = x = 3.60 m

d. air pressure decreases as altitude increases.

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.