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