Question

Physics - Free Fall & Air Resistance

1. I drop a coin from the top of the tower and hit the ground. Calculate the velocity after 2.85 seconds.
2. If a man drops a watermelon from the top of a building, and it takes 3.34 seconds to hit the ground, how tall is the building?

answer properly with solution please, needed asap. thank you!

Answer 1

Answer: The building is approximately 54.74 meters tall

Step-by-step explanation:

Assuming the coin is in free fall and neglecting air resistance, we can use the kinematic equation:

v = gt

where v is the final velocity, g is the acceleration due to gravity (9.8 m/s²), and t is the time elapsed. Plugging in the values:

v = (9.8 m/s²) x (2.85 s)

v = 27.93 m/s

Therefore, the velocity of the coin after 2.85 seconds is 27.93 m/s.

Again, assuming free fall and neglecting air resistance, we can use the kinematic equation:

d = 1/2 gt²

where d is the distance fallen (i.e. the height of the building), g is the acceleration due to gravity (9.8 m/s²), and t is the time elapsed. Plugging in the values:

d = 1/2 x (9.8 m/s²) x (3.34 s)²

d = 54.74 m

Therefore, the building is approximately 54.74 meters tall. However, if air resistance is not negligible, the actual height may differ.