Eva is jumping on a trampoline. Her height h at time t can be modeled by the equation h=-16t^2+20t+6. Would Eva reach a height of 14 feet?

Given the equation modeling Eva's height at time, t. To evaluate if she will reach height of 14 ft, we evaluate maximum height that she will reach.

At maximum height h' (t) = 0

but

h (t) = - 16t^2+20t+6

h' (t) = - 32t+20=0

solving for t we get:

-32t=-20

t=20/32

t=5/8

thus the maximum height reached was:

h (5/8) = - 16 (5/8) ^2+20 (5/8) + 6

h (5/8) = 12.25 ft

Thus we conclude that she won't reach the height of 14 ft because her maximum height was 12.25 ft