A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a func

Question

3 years ago

15

A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a func

tion of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to reach its highest point?
1.75 seconds B) 2.50 seconds C) 2.75 seconds D) 3.50 seconds

Mathematics

1 answer:

siniylev [52] · Answer 1 · 2022-07-22T17:53:49+03:00

siniylev [52]3 years ago

8 0

Answer:

1.75

Step-by-step explanation:

h(t) = -16t² + 56t

h'(t) = -32t + 56

To find time at max height equate h' to 0

0 = -32t + 56

t = 56/32 = 1.75 s

It takes 1.75 s to reach max highest point