Posted by **mike** on Thursday, December 5, 2013 at 1:25pm.

A ball is thrown upward from a height of 240 feet. the height h of the object(in feet) t seconds after the ball is released is given by h=-16t^2+32t+240

a. how long does it take the ball to reach its maximum height?

b. what is the maximum height attained by the ball?

c. how long does it take the object to hit the ground?

- algebra -
**Steve**, Thursday, December 5, 2013 at 1:38pm
(a) vertex of the parabola is at t = -b/2a

(b) plug in that value to get h

(c) solve for t when h=0

- algebra -
**Kuai**, Thursday, December 5, 2013 at 1:44pm
a) x = -b/2a

x = -32/2(-16) = 1

t = 1 sec to reach max height

b) h = -16(1)^2 + 32(1) + 240

h = -16 + 32 + 240 = 256

h = 256 ft is the max height

c) 0 = -16(t^2 -2t-15)

0 = -16(t-5)(t+ 3)

t = -3, t = 5

t = 5 seconds for the ball to hit the ground.

## Answer this Question

## Related Questions

- Algebra 1 - a ball is thrown into the air with an upward velocity of 32 ft per ...
- math - A ball is thrown into the air with an upward velocity of 20 ft/s. Its ...
- College Algebra - Flight of a Ball If a ball is thrown upward at 96 feet per ...
- algebra - The height in feet of a projectile with an initial velocity of 32 feet...
- Algebra - The height of an object after it is released can be modeled by the ...
- algebra - When thrown into the air from the top of a 50 ft building, a ball’s ...
- algebra - A ball is thrown into the air with an upward velocity of 28 ft/s. Its ...
- Math - With s(t) measured in feet and t in seconds, the equation s(t)= -16t^2...
- Algebra - A ball is thrown into the air with an upward velocity of 28 ft/s. Its...
- math - An object that is falling or vertically projected into the air has it ...