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A penny is dropped from the top of a building 290 m high. Ignoring air resistance, if
the penny falls straight down, with what speed would it hit the ground?

Respuesta :

Answer:

Vf = 75.4 m/s

Explanation:

In order to find the final velocity of the penny when it would hit the ground, we will use the equation of motion. In this particular case the third equation of motion can be used. The third equation of motion is written as follows:

2gh = Vf² - Vi²

where,

Vf = Final Velocity of the penny when it would hit the ground = ?

Vi = Initial Velocity of the penny = 0 m/s (Since, the penny starts from rest)

g = acceleration due to gravity = 9.8 m/s²

h = height of building = 290 m

Therefore,

2(9.8 m/s²)(290 m) = Vf² - (0 m/s)²

Vf = √(5684 m²/s²)

Vf = 75.4 m/s