Question

Patricia serves the volleyball to Amy with an upward velocity of 17.5ft/s. The ball is 5 feet above the ground when she strikes it. How long does Amy have to react, before the volleyball hits the ground? Round your answer to two decimal places.

Answer 1

Answer:

1.33 s

Step-by-step explanation:

Given:

Δy = -5 ft

v₀ = 17.5 ft/s

a = -32 ft/s²

Find: t

Δy = v₀ t + ½ at²

-5 = 17.5 t + ½ (-32) t²

0 = -16t² + 17.5t + 5

0 = 32t² − 35t − 10

t = [ 35 ± √((-35)² − 4(32)(-10)) ] / 64

t = (35 ± √2505) / 64

t = 1.33

Amy has 1.33 seconds to react before the volleyball hits the ground.