Rndm02_Prob1

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*#&!*#&!

course PHY 241

420pm 10/15/2011

Randomized Assignment 2 Problem 1 If the velocity of the object

changes from 4 cm / sec to 16 cm / sec in 8 seconds, then at what

average rate is the velocity changing?

V_a = 4 cm/sec @ t=0 sec

V_b = 16 cm/sec @ t=8 sec

(V_b - V_a)/ 8 secs = (12 cm/sec) / 8 sec = 1.5 cm/sec

@& (cm / s) / s is not cm/s.*@

A ball rolling from rest down a constant incline requires 8.2 seconds

to roll the 97 centimeter length of the incline.

What is its average velocity?

97 cm/ 8.2 seconds = 11.8 cm/sec

An object which accelerates uniformly from rest will attain a final

velocity which is double its average velocity.

What therefore is the final velocity of this ball?

23.6 cm/sec

What average rate is the velocity of the ball therefore changing?

(23.6 cm/sec) / (8.2 sec) = 2.9 cm/sec

@&(cm/s) / s does not give you cm/s. *@

An automobile accelerates uniformly down a constant incline, starting

from rest. It requires 10 seconds to cover a distance of 132 meters.

At what average rate is the velocity of the automobile therefore

changing?

132 meters/ 10 seconds = 13.2 m/sec

v_f = 13.2 m/sec * 2 = 26.4 m/sec

(26.4m/sec) / 10 sec = 2.64 m/sec

@& You unit here is incorrect.*@

@& RIght reasoning and right procedures, but your units are often incorrect. You need to actually do the algebra of the units.*@