SOLUTION: I have another tough word problem that I hope someone can show me the solutions . A kicker punts a football from 3 feet above the ground with an initial velocity of 47 feet per

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Question 1063233: I have another tough word problem that I hope someone can show me the solutions .
A kicker punts a football from 3 feet above the ground with an initial velocity of 47 feet per second.
1) Write an equation that gives the height (in feet) of the football as a function of the time (in seconds) since it was punted. 2) Find the height (in feet) of the football 2 seconds after the punt. And,3) Calculate how many seconds after the punt the ball would hit the ground.
Wow! I certainly owe a huge THANK YOU to the person able to help me on this one.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
I have another tough word problem that I hope someone can show me the solutions .
A kicker punts a football from 3 feet above the ground with an initial velocity of 47 feet per second.

1)  Write an equation that gives the height (in feet) of the football as a function of the time (in seconds) since it was punted. 

    h(t) = -16t%5E2+%2B+47t+%2B+3.

    h is the height above the ground.

    I assume (! You didn't say it) that the velocity is VERTICAL velocity (directed upward)


2)  Find the height (in feet) of the football 2 seconds after the punt. 

    Substitute t= 2 into this equation.


3)  Calculate how many seconds after the punt the ball would hit the ground.

    For it, solve the equation h(t) = 0 for t, which is the same as  -16t%5E2+%2B+47t+%2B+3 = 0.


There is a bunch of lessons with similar solved problems in this site:
    - Problem on a projectile moving vertically up and down
    - Problem on an arrow shot vertically upward
    - Problem on a ball thrown vertically up from the top of a tower
    - Problem on a toy rocket launched vertically up from a tall platform


Notice that the equations might be written differently for different unit systems.


Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Projectiles launched/thrown and moving vertically up and dawn".