A punter kicks a football into the air with an initial velocity of 84 feet per second. The equation {16}t^(2) + 84 gives the height of the ball after t seconds. What is the maxi…

Question

A punter kicks a football into the air with an initial velocity of 84 feet per second. The equation


`{16}t^(2) + 84`
gives the height of the ball after t seconds.

What is the maximum height of the football.


​

Answer 1

84feet

Explanation:

Given the height of the ball modelled by the equation h(t)=16t²+84 after t secs. At the maximum height, the velocity of the ball is zero.

Velocity V is the change of rate of displacement.

V = dh/dt = 32t

0 = 32t

t = 0secs

at t = 0;

h(0) = 16(0)²+84

h(0) = 84feet

This shows that the maximum height of the ball is 84feet