Saturday

April 19, 2014

April 19, 2014

Posted by **lucy** on Saturday, December 15, 2007 at 2:08pm.

- math -
**drwls**, Saturday, December 15, 2007 at 2:33pmThat would be when the velocity is zero. That happens when the derivative

80 - 32t, is zero. Therefore t = 2.5 seconds at that time, and the maximum height is

80*2.5 - 16(2.5)^2 = 100 ft

- math -
**lucely**, Saturday, December 15, 2007 at 5:38pmwhat ever

- math -
- math -
**tchrwill**, Saturday, December 15, 2007 at 3:07pmAlternatively:

If a ball is thrown directly upward with a velocity of 80ft/s, its height (in feet) after t seconds is given by y=80t-16t^2. What is the maximum height attained by the ball?

The time to reach the maximum height and zero velocity derives from Vf = Vo - gt wherer Vf = the final velocity = 0, Vo = the initial velocity = 80fps, t = the time to zero velocity and g = the deleration due to gravity.

Therefore, 0 = 80 - 32t making t = 2.5 sec.

Then, from h = 80t-16t^2, h = 80(2.5) - 16(2.5)^2 = 200 - 100 = 100 ft.

- math -
**lucy**, Saturday, December 15, 2007 at 4:16pmthanks!

**Related Questions**

algebra - A ball is thrown into the air with an upward velocity of 28 ft/s. Its ...

algebra - A ball is thrown upward from a height of 240 feet. the height h of the...

pre-calc - Physics: a ball is thrown vertically upward with an initial velocity ...

CALCULUS - if a ball is thrown vertically upward with a velocity of 80m/s then ...

calculus - a ball is thrown directly upward with a velocity of 40 feet/seconds. ...

calculus - a ball is thrown directly upward with a velocity of 40 feet/seconds. ...

calculus - a ball is thrown directly upward with a velocity of 40 feet/seconds. ...

Math - A ball is tossed straight upward with an initial velocity of 80 ft per ...

Algebra - word problem - A red ball and a green ball are simultaneously tossed ...

calculas - If a ball is thrown vertically upward from the roof of 48 foot ...