You drop a water balloon off of a tree branch, and you time the drop time at Δt = 1.16 sec, from the instant you drop it to the instant it impacts the sidewalk.
What is the height of the tree branch?
h = 4.9 t^2
h= 4.9(1.16)^2
h = 6.19 m
To calculate the height of the tree branch, we can use the formula for the distance an object falls under gravity. The formula is:
d = (1/2) * g * t^2
where:
d is the distance or height
g is the acceleration due to gravity (approximately 9.8 m/s^2 on Earth)
t is the time taken to fall
In this case, the time taken to fall is given as Δt = 1.16 sec.
Let's substitute the value in the formula and solve for the height (d):
d = (1/2) * 9.8 m/s^2 * (1.16 sec)^2
Calculating this expression will give us the height of the tree branch.