Friday

February 27, 2015

February 27, 2015

Posted by **Abbey(Please help)** on Saturday, April 24, 2010 at 10:23pm.

s(t)=-16t^2+100, gives the height(in feet) of the paint brush as it falls to the ground. The velocity at time t=2 seconds is given by

lim s(2)-s(t)/2-t

t-->2

Evaluate this limit to find the velocity of the paint brush at 2 seconds. (include units in your answer).

- Math -
**Reiny**, Saturday, April 24, 2010 at 10:48pmagain, you typed it wrong

should be

lim ( s(2) - s(t))/(2-t) as t ---> 2

= lim (36 + 16t^2 - 100)/(2-t)

= lim (16(t^2 - 4)/(2-t)

= lim 16(t+2)(t-2)/(2-t)

= lim 16(-1)(t+2) as t --->2

= 16(-1)(4) = -64

- Math -
**Abbey(Please help)**, Saturday, April 24, 2010 at 10:56pmThank You!!

**Answer this Question**

**Related Questions**

Math - I forget how to do these type of word problems. Assume you working on the...

math - A can of paint and a paint brush cost a total of $35. If the can of paint...

Physics - a) While painting a 12 meter high roof you knock the paint brush off ...

trigonometry - A construction worker working at 300 feet from the ground, drops ...

trigonometry - A construction worker working at 300 feet from the ground, drops ...

Physics - The Falling Paint Can: A painter is standing on scaffolding that is ...

Algebra - An object which is dropped from 100 feet above ground falls according ...

Math - If a room is 13 feet long and 12 feet wide. The ceiling is 8 ft high. I ...

math - After reading this ad (primer $10.99,paint is $14.50)a decorator bought 1...

Math - A bungee jumper falls from a bridge 300 feet above ground. Her height ...