Felix and oscar are standing on a tower that is 112 feet high. felix drops his penny while oscar throws his penny down and it hits the ground in 2 seconds. how long will it take felix's penny to hit the ground and what was the initial velocity of oscar's penny?

It will take 2.64 s for Felix's penny to hit the ground.

Initial velocity of Oscar's penny is 7.27 m/s or 23.85 ft/s

Step-by-step explanation:

Given:

Height of the tower is,

Felix drops the penny while Oscar throws his penny.

Time taken by Oscar's penny to reach ground is,

Now, as Oscar throws his penny, there will be some initial velocity of his penny. Let the initial velocity of his penny be .

As the penny is falling vertically, acceleration of the penny is due to gravity and is equal to -9.8 m/s².

Now, displacement of the penny is equal to the height of the tower = -112 ft = -34.14 m (1 ft = 0.3048 m)

Using equation of motion,

Now, 1 m/s = 3.28 ft/s

So, 7.27 m/s =

Therefore, the initial velocity of Oscar's penny is 7.27 m/s or 23.85 ft/s in the downward direction.

Now, Felix drops the penny. So, initial velocity of Felix's penny is 0 m/s.

Displacement of the penny is same and equal to -112 ft = -34.14 m

Using the same equation of motion,

Therefore, time taken by Felix's penny to reach ground is 2.64 s.