A child throws a water balloon down out of a window. Substitute 0 for h into the equation h=-16t^2 - 10t+6 To determine how many seconds it takes for the water balloon to reach the ground

t = 3/8 seconds

Step-by-step explanation:

h=-16t^2 - 10t+6

h = 0 when it hits the ground

0=-16t^2 - 10t+6

factor out a - 2

0 = - 2 (8t^2 + 5t - 3)

divide by - 2

0 = (8t^2 + 5t - 3)

factor

0 = (8t-3) (t+1)

using the zero product property

8t-3 = 0 t+1 = 0

8t = 3 t = - 1

t = 3/8 t = - 1

t cannot be negative (no negative time)

t = 3/8 seconds