When Joey dives off a diving board, the equation of his pathway can be modeled by h = - 16t2 + 15t + 12. A) Find Joey's maximum height. B) Find the time it will take for Joey to reach the water.

a) 15.52ft

b) 0.47 secs

Step-by-step explanation:

h = - 16t^2 + 15t + 12

The maximum height is reached after - b/2a seconds

a = - 16, b = 15, c = 12

-b/2a = - 15/2 (-16)

= - 15/-32

= 0.47 secs

The maximum height = - 16 (0.47) ^2 + 15 (0.47) + 12

= - 3.5344 + 7.05 + 12

= 15.5156

= 15.52ft