Velocity Derivative Problem
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Velocity Derivative Problem

[From: ] [author: ] [Date: 12-10-07] [Hit: ]
but if you use your graphing calculator, you will see that y=110 ft at about .433 seconds.Next, find the derivative,Using this function,......
The height (feet) of a ball launched in the air t seconds after it is launched is given by:

-16t+208t+23

The velocity of the ball when at a height of 110 feet is __ ft/sec

-
Okay, doing it again with correct equation.

When now find the value of t if y = 110 feet.
I can't really remember how to solve this in algebra, but if you use your graphing calculator, you will see that y=110 ft at about .433 seconds.

Next, find the derivative, which is a function of velocity:
y' = -31t +208

Using this function, solve for t=.433.
y' = -31(.433) + 208

You should get about 195 ft/sec.
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