A kicker kicks a football toward the opponent's goal line during a game. The ball begins it's flight with an initial velocity of

Question

3 years ago

15

A kicker kicks a football toward the opponent's goal line during a game. The ball begins it's flight with an initial velocity of

100 feet per second when it is kicked at a height of 3 feet by the kicker. To the nearest foot, what is the maximum height the ball will reach? Use h(t)=_16t^2+100t+3

Mathematics

2 answers:

Aleks04 [339] · Answer 1 · 2022-02-02T13:28:56+03:00

Answer:

Maximum height reached = 159.25 feet

Step-by-step explanation:

We have the equation h(t)=-16t²+100t+3

At maximum height derivative is zero.

That is

$\frac{dh}{dt}=-32t+100=0\\\\t=3.125s$

Substituting t = 3.125 s in h(t)=-16t²+100t+3

Maximum height

h(3.125) = -16 x 3.125²+100 x 3.125 + 3 = 159.25 feet

Maximum height reached = 159.25 feet

Yuri [45] · Answer 2 · 2022-02-02T11:00:36+03:00

Yuri [45]3 years ago

3 0

<span>h=.5*100^2/32+3

Answer: 159 ft.</span>