Posted by **monae** on Saturday, September 1, 2012 at 11:02am.

How fast would a ball have to be thrown upward to reach a maximum height of 49 ft? [Hint: Use the discriminant of the equation

16t2 − v0t + h = 0.

- math -
**Anu**, Saturday, September 1, 2012 at 8:03pm
This equation is derived from the following:

at maximum height the velocity is zero.

y(current height)= y0 (initial height)+v0t+.5at^2

take the derivative

32t-v0=0 so vo=32t

Plug this in for the v0 value

16t2 − (32t)t + h = 0

h=49ft

-16t^2+49=0

Solve for t:

16t^2=49

4t=7

t=7/4

Plug in t and h to solve for v0

16t2 − v0t + h = 0 where h=49 and t=7/4

16(7/4)^2-v0 (7/4) +49=0

:P

- math -
**Amber**, Tuesday, January 21, 2014 at 2:46pm
How fast would a ball have to be thrown upward to reach a maximum height of 49 ft? [Hint: Use the discriminant of the equation 16t2 − v0t + h = 0.]

## Answer This Question

## Related Questions

- PreCalculas - A ball is thrown upward with an initial velocity of 4 ft/sec from ...
- Pre-Calculus - A ball is thrown up at the edge of a 364 foot cliff. The ball is ...
- Math( help please ! ) - The height of a ball thrown vertically upward from a ...
- calculus - If a ball is thrown vertically upward from the roof of 64 foot ...
- Calc - If a ball is thrown vertically upward from the roof of 48 foot building ...
- Calculus - If a ball is thrown vertically upward from the roof of 32 foot ...
- calculas - If a ball is thrown vertically upward from the roof of 48 foot ...
- math - The height of a projectile fired upward is given by the formula s = v0t...
- math - If a ball is thrown vertically upward from the roof of 32 foot building ...
- Math - ) If you are standing near the edge of the top of a 200 ft. building and ...

More Related Questions