Question

A brick is thrown vertically upward with an initial speed of 3.00 m/s from the roof of a building. If the building is 78.4 m tall, how much time passes before the brick lands on the ground?

Answer 1

4.32 seconds

Step-by-step explanation:

Given:

y = 0 m

y₀ = 78.4 m

v₀ = 3.00 m/s

a = -9.8 m/s²

Find: t

y = y₀ + v₀ t + ½ at²

0 = 78.4 + 3.00 t − 4.9 t²

4.9t² − 3t − 78.4 = 0

Solve with quadratic formula:

t = [ 3 ± √(9 − 4(4.9)(-78.4)) ] / 9.8

t ≈ -3.71, 4.32

Since t must be positive, t = 4.32. So it takes 4.32 seconds for the brick to land.

Answer 2

0.918 sec

Step-by-step explanation:

time of flight:

t=u²/g

=3²/9.8=0.918sec