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.

Respuesta :

Answer:

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

It would take 0.46875 seconds for Joey to reach a maximum height of 15.5 feet.

What is an equation

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

h = -16t² + 15t + 12

Where h is the height at time t.

The maximum height is at h' = 0, hence:

h' = -32t + 15

-32t + 15 = 0

t = 0.46875

h = -16(0.46875)² + 15(0.46875) + 12 = 15.5 feet

It would take 0.46875 seconds for Joey to reach a maximum height of 15.5 feet.

Find out more on equation at: https://brainly.com/question/13763238