Posted by **Michala** on Sunday, July 20, 2014 at 1:40pm.

A rock is thrown from the top of a tower that is 400 feet tall. If its height above the ground can be modeled by

h = -16t2 + 64t +400 where h is in feet, and t is in seconds.

To the nearest tenth of a second, how long does it take the rock to reach the ground?

To the nearest tenth of a second, how long will it take the rock to reach its maximum height?

To the nearest tenth of a foot, how high will the rock go before it starts falling down?

- College math -
**bobpursley**, Sunday, July 20, 2014 at 1:55pm
Hf=0=400+64t-16t^2

use the quadratic equation

a=-16, b=64, c=400

Now how high? Lets do some Gedunken.

if we find the time it takes for the rock to leave the tower, and return to the same altitute it started from

400=400+64t-16t^2 or

0=t(64-16t) the solutions are t=0, and t=4 seconds. Now the rock is at maximkum height in half that, or at t=2seconds

h=400+64t-16t^2 solve for t=2

- College math -
**bobpursley**, Sunday, July 20, 2014 at 1:58pm
I would like to point out a basic misunderstanding your teacher has with falling down. The rock is falling the instant is thrown upwards, that is why is slows down until the max height.

Satellites in earth orbit, albeit at constant altitude, are constantly falling, otherwise, they would go off in space.

## Answer This Question

## Related Questions

- math - The height above ground of a snowball thrown from a cliff is modeled by ...
- math - The height above ground of a snowball thrown from a cliff is modeled by ...
- MATH - A wire is stretched from the ground to the top of an antenna tower. The ...
- Math - You drop a rock off a bridge. The rock’s height, h (in feet above the ...
- math - a ball is thrown upward at 64 feet per second from the top of an 80 feet ...
- algebra - a rock is thrown into the air from a height of 4 feet. the height of ...
- math - If a metal ball is thrown downward with an initial velocity of 22 feet ...
- algebra 2 - So the dead line for my class is coming up. And I really need help ...
- Math - Please help if you can. If a ball is shot projected straight upward at a ...
- calculus - A rock is thrown upward with a speed of 48 feet per second from the ...

More Related Questions