Very good work, but you had couple of errors. See my notes and resubmit those questions, complete with my notes and your questions and/or revisions.
Assignment 2
Problem 1 Version 3
If the velocity of the object changes from 2 cm / sec to 10 cm / sec in 10 seconds, then at what average rate is the velocity changing? The velocity is changing at an average rate of 0.8cm/s/s
A ball rolling from rest down a constant incline requires 6 seconds to roll the 61 centimeter length of the incline.
• What is its average velocity? VAvg=10.166 cm/s
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? VFin=2*vAvg=[’ds/’dt]*2
• What average rate is the velocity of the ball therefore changing? The velocity is changing at an average rate of the following equation: Average Accel = vAvg/’dt
An automobile accelerates uniformly down a constant incline, starting from rest. It requires 9 seconds to cover a distance of 124 meters. At what average rate is the velocity of the automobile therefore changing?
VAvg = 13.777 m/s; The average rate of the velocity is 1.53m/s/s
This is not correct.
How did you obtain that average rate?
What is the initial velocity and what is the final velocity of that automobile?
What therefore is the change in velocity?
What therefore is the acceleration?
Problem 2 Version 1
For a certain pendulum, periods of T = .91, 1.291681, 1.58539 and 1.83345 seconds are observed for respective lengths L = 7, 14, 21 and 28 units.
• Determine whether the transformation T -> T2 or T -> T3 linearizes the function better.
T->T2 does a much better job to linearize the function
• Determine the equation of the resulting straight line, and solve the equation for T.
T=slope of the line*L Slope of the line=[(Tfin-Tint)/(Lfin-Lint)] or Rise / Run
T=.0439738*L
• Use your equation to determine the period of a pendulum whose length is 51.19815 units.
o T=.0439738*51.19815 = 2.251
• Use your equation to determine the length of a pendulum whose period is 2.424873 seconds.
o L= 55.143585
SET #2 Problem 1
Problem
If velocity increases by 4 meters per second every minute, how many minutes does it take for velocity to increase by 40 meters per second?
Answer: 40m per s / 4m/s/m = 10 minutes
SET #2 Problem 2
Problem
If velocity increases by 3 meters per second every second, how many seconds does it take for velocity to increase by 26 meters per second?
Answer: 26meters/s / 3 meters = 8.6666 seconds to reach a velocity of 26m/s
SET #2 Problem 3
Problem
The velocity of an object increases by 7 meters per second during its lifetime.
• If the rate of increase is constant, and if during a 1 second lifetime another object with the same velocity is observed to increase its velocity be 23 meters / sec, then how long does this object live?
Answer: 23meters/sec / 7meters = 3.285 seconds (lifetime of the object)
The introductory problem set questions look good, but you don't have to submit these. You just need to be sure you have mastered these problems. The Queries will ask you questions about these problems, and very similar problems often occur on tests.