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

[tex] {16}t^{2} + 84[/tex]
gives the height of the ball after t seconds.

What is the maximum height of the football.


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Respuesta :

abidemiokin

Answer:

84feet

Step-by-step 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