Thursday

July 31, 2014

July 31, 2014

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!!

**Related Questions**

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

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

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

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 - the triangular sail on a sailboat has a base of 4 feet and height of 6 ...

Geometry - A gallon of paint costs $20 and covers 465 square feet. Three coats ...

Math - A cylindrical tank has a height of 8 feet and a diameter of 2 3/4 feet. ...

Area of triangles - Aubrey is painting a mural of an ocean scene. The triangular...

Geometry - A gallon of paint costs $20 and covers 465 square feet. Three coats ...