COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Question
Chapter 2, Problem 62QAP
To determine
The equation to relate position, speed and acceleration without the time variable.
Expert Solution & Answer
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My question isn't how to solve the problem exactly. In fact, it's already been solved on this website. My question is about the acceleration. When I solve this problem myself, first I calculate the velocity by dividing 100m by 53s. I get 1.89m/s. Then I use that to find the acceleration using the equation vf = vi + at. That's 1.89/53 = 0.036m/s^2.
That's not correct. The correct way to find the acceleration is to us the equation d = 1/2 at^2 and solve that way without taking the intermediate step of finding the velocity. Doing it that way, the acceleration is 0.0712m/s^2.
My question is why you get a different result doing it the first way than you get doing it the second way.
The velocity of an object is given by,
= u + at
V
ds
dt.
where, u is the initial velocity, a is the
acceleration, and ₺ is the time in seconds.
Solve the differential equation to obtain the
displacement, s, given that at t = 0, s = 7
(metres)
:
1
if u = 3 ms ¹, a = 2.4 ms 2, calculate the
displacements at t = 4.9 seconds.
Give your answer to 2 decimal places.
A quadratic fit is done on a distance versus time graph of an object with constant acceleration using a computer program. The distance is in meters and the time in seconds. The
form of the quadratic fit is y (z)= Az + Bz + Cand the fit parameters were found to by A-0.5, B-2 and C-3. What is the acceleration?
1.5 m/s
0.25 m/s
0.5 m/s
-2 m/s
1 m/s
3 m/s
OO0O C
Chapter 2 Solutions
COLLEGE PHYSICS
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Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY