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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) = .
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 = 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".