Falling Objects Problem for Calculus

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Homework Statement


The multiflash photograph in Figure A shows two balls falling from rest. The vertical rulers are marked in centimeters. Use the equation s=490t^2 (the free-fall equation for s in centimeters and t in seconds) to answer the following questions:
a) How long did it take the balls to fall the first 160 cm? What was their average velocity for the period?


Homework Equations





The Attempt at a Solution


160cm=490t^2
square root of (160/490)
My question is how do you find the average velocity? Do you take the derivative of the first equation which would be 490t and plug 160 cm in again?
 

Answers and Replies

  • #2
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Firstly, the derivative of [tex]s(t) = 490t^{2}[/tex] will not be 490t.

Secondly, if you want to find the average of a linear function over an interval, wouldn't it be best to know the endpoints of the function on that interval? Remember that velocity is a function of time, not distance.

EDIT: Actually, I take that back. You really don't even need to find the derivative. You can just use the equation distance = rate * time, seeing as you just solved for time.
 
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