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.
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.