Thursday

July 24, 2014

July 24, 2014

Posted by **Angelina** on Thursday, March 8, 2012 at 3:21pm.

According to Rolle's Theorem, what must be the velocity at some time in the interval (2, 3)?

ft/sec?

& Find that time t?

I believe i need to take the 1st derivative which is -32t+80 equal to zero so t=-80/32? and for ft/sec plug in 2 for t? Anyhow i get wrong answers so need help!

- Math -
**Steve**, Thursday, March 8, 2012 at 5:22pmRolle's Theorem states that on the interval (2,3) there will be a point c where f'(c) = the slope of the chord from f(2) to f(3)

So, f(2) = 102

f(3) = 102

so, the chord has slope 0.

so, at some point c in (2,3) f'(c) = 0

f'(t) = 80 - 32t

f'(t) = where t = 80/32 = 2.5

That's what you'd expect, since parabolas are symmetric about their axis.

- Math -
**Angelina**, Thursday, March 8, 2012 at 5:40pmTHNKS :)I really appreciate your help!

**Related Questions**

Algebra - THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the...

Algebra - THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the...

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

math - A ball is thrown into the air with an upward velocity of 20 ft/s. Its ...

math - An object that is falling or vertically projected into the air has it ...

math - If a metal ball is thrown downward with an initial velocity of 22 feet ...

math - a ball is thrown upward at 64 feet per second from the top of an 80 feet ...

ap calculus - The height s of a ball, in feet, thrown with an initial velocity ...

algebra - The height above the ground of a ball thrown up with a velocity of 96 ...

Calculus - A ball is thrown vertically upward with an initial velocity of 135 ...