An egg is thrown horizontally off the roof of a school, which is 15.0 m high, with an initial velocity of 6.50 m/s. How long does it take to hit the ground? How far does it go in the x direction?

1.75 s

11.4 m

Explanation:

In the y direction:

Given:

Δy = - 15.0 m

v₀ = 0 m/s

a = - 9.8 m/s²

Find: t

Δy = v₀ t + ½ at²

-15.0 m = (0 m/s) t + ½ (-9.8 m/s²) t²

t = 1.75 s

In the x direction:

Given:

t = 1.75 s

v₀ = 6.50 m/s

a = 0 m/s²

Find: Δx

Δx = v₀ t + ½ at²

Δx = (6.50 m/s) (1.75 s) + ½ (0 m/s²) (1.75 s) ²

Δx = 11.4 m