SOLUTION: A kicker punts the football from 3 feet above the ground with a velocity of 47 feet per second. Write an equation that gives the height in feet of the football as a function of

Question 1136217: A kicker punts the football from 3 feet above the ground with a velocity of 47 feet per second.
Write an equation that gives the height in feet of the football as a function of the time in seconds since it was punted.
(a) Find the height in feet of the football 2 seconds after the punt.
(b) Calculate how many seconds after the punt the ball would hit the ground.

Answer by ikleyn(52864) (Show Source): You can put this solution on YOUR website!
.

(a)  h(2) =  = 33 ft.     ANSWER


(b)  Solve the equation

     h(t) = 0, which is   = 0.


      =  = .


    Use the positive root  t =  = 3 seconds.    ANSWER

Answered and solved.

---------------------

For completeness, see my previous post

https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.1136213.html

https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.1136213.html

RELATED QUESTIONS
A kicker punts the football from 3 feet above the ground with a velocity of 47 feet per... (answered by ikleyn)

A kicker punts a football from 3 feet above the ground with an initial velocity of 47... (answered by ankor@dixie-net.com)

I have another tough word problem that I hope someone can show me the solutions . A... (answered by ikleyn)

A football is punted from a height of 2.5 feet above the ground with an initial vertical... (answered by Alan3354)

A football is punted from a height of 2.5 feet above the ground with an initial vertical... (answered by ankor@dixie-net.com)

Charlie Brown punts a football, which leaves his foot at a height of 3 ft above the... (answered by ikleyn)

Quinn punted the football from a height of 3 feet above the turf field.The ball was... (answered by Alan3354)

fireworks are shot upward with an initial velocity of 128 feet per second from a platform (answered by Alan3354)