you throw a ball straight down from an apartment balcony to the ground below. The ball has an initial velocity 6.00m/s, directed downward, and hits the ground 3.50 s after it is released. Find the height of the balcony.

Answer 1

To find the height of the balcony, we can use the formula for distance (h) travelled by an object in free fall:

h = (1/2)gt^2

Where:
g is the acceleration due to gravity (approximated as 9.8 m/s^2)
t is the time of flight (3.50 s in this case)

First, let's calculate the distance traveled by the object in free fall:

h = (1/2)(9.8 m/s^2)(3.50 s)^2
h = (1/2)(9.8 m/s^2)(12.25 s^2)
h = 59.675 m

Therefore, the height of the balcony is approximately 59.675 meters.