Answer:
6.74 s
Step-by-step explanation:
y = ½ at² + vt + h
Given a = -32, v = 80, h = 188:
y = ½ (-32) t² + (80) t + (188)
y = -16t² + 80t + 188
When y = 0:
0 = -16t² + 80t + 188
0 = 4t² − 20t − 47
Solve with quadratic formula:
t = [ -(-20) ± √((-20)² − 4(4)(-47)) ] / 2(4)
t = [ 20 ± √(400 + 752) ] / 8
t = (20 ± √1152) / 8
t > 0, so:
t = (20 + √1152) / 8
t ≈ 6.74
