# A soccer ball is kicked horizontally at 15.8 m/s off the top of a field house and lands 33.9 meters from the base of the field house. How high is the field house?

May 10, 2018

$\text{22.65 m}$

#### Explanation:

Along horizontal there is no acceleration. So,
Time taken to hit the ground is

$\text{t" = "d"/"v" = "33.9 m"/"15.8 m/s" = "2.15 s}$

Along vertical, $\text{u = 0}$
From equation of motion: ${\text{S = ut"\ + 1/2"at}}^{2}$

$\text{H" = 1/2 × "9.8 m/s"^2 × (2.15\ "s")^2 = "22.65 m}$