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.
