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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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       Log On


   

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(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.
(a)  h(2) = -16%2A2%5E2+%2B+47%2A2+%2B3 = 33 ft.     ANSWER


(b)  Solve the equation

     h(t) = 0, which is  -16%2At%5E2+%2B+47t+%2B+3 = 0.


     t%5B1%2C2%5D = %28-47+%2B-+sqrt%28%28-47%29%5E2+-4%2A%28-16%29%2A3%29%29%2F%28-32%29 = %28-47+%2B-+49%29%2F%28-32%29.


    Use the positive root  t = %2847+%2B+49%29%2F32 = 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