Posted by **Joshua** on Friday, October 5, 2012 at 3:34pm.

An arrow is shot vertically upward from the top of a cliff 80 feet tall, with an initial velocity of 64 ft/s, (the acceleration due to gravity is -16ft/sec).

a. Write the quadratic equation representing this scenario when h is 0.

b. Find the roots (solutions) for this quadratic equation, solving by factoring.

- Math(Algebra) -
**Steve**, Friday, October 5, 2012 at 3:57pm
assuming the quadratic equation represents the height of the arrow above the ground at the base of the cliff (and that the shot is made just past the edge of the cliff, so the falling arrow does not hit the cliff), then

the height h as a function of time is

h(t) = 80 + 64t - 16t^2

h=0 when the arrow hits the ground at the base of the cliff.

the rest should be no sweat

- Math(Algebra) -
**Joshua**, Thursday, October 11, 2012 at 12:18pm
Thanks Steve

## Answer this Question

## Related Questions

- math,correction - Can someone correct my answers thanks. Problem #1 The equation...
- Math - A golf ball is hit off the top of a cliff that is 75 feet tall at an ...
- calculus - A golf ball is hit off the top of a cliff that is 75 feet tall at an ...
- algebra - The equation h = -16t^2 + 112t gives the height of an arrow, shot ...
- Math - The equation h=-16t^2+112t gives the height of an arrow, shot upward from...
- Math - Marsha hits a tennis ball upward from the top of a 90 foot high cliff ...
- Calculus - On planet Calculi, acceleration due to gravity is -20 ft/sec^2. A ...
- physics - A tennis ball is shot vertically upward from the surface of an ...
- Calculus - Use a(t)=-32 ft/second squared as the acceleration due to gravity. A ...
- Calculus - Use a(t)=-32 ft/second squared as the acceleration due to gravity. A ...