Project 9: sections 12.6 qnd 16.5

Question

h(t)=-8t²+16t+120

Where h(t) is the height of the ball and t is time in seconds

A) What is the maximum height of the ball after it leaves the blaster?

B) What time does it reach its maximum height?

C)After how long will the ball hit the target on the ground?

D)Determine the domain and range

E)How does the context of the function limit the domain and range?

Answer 1

max height = 128 after 1 second

-8t^2 +16t +120 = 0

t^2 -2t -15=0

(t+3)(t-5) = 0

t-5=0

it hits the ground in 5 seconds

domain is 0 to 5 seconds

range is 0 to 128

the ground puts a limit on the range of 0

gravity limits the maximum to 128