FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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Chapter 2, Problem 58P
An object falls a distance h from rest. If it travels 0.50h in the last 1.00 s, find (a) the time and (b) the height of its fall. (c) Explain the physically unacceptable solution of the quadratic equation in t that you obtain.
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An object falls a distance h from rest. If it travels 0.50h in the last 1.00 s, find (a) the time and (b) the height of its fall. (c) Explain the physically unacceptable solution of the quadratic equation in t that you obtain.
a) On the moon, all free-fall distance functions are of the form s(t)=0.81t2,where t is in seconds and s is in meters. An object is dropped from a height of 150 meters above the moon. After 8 sec, consider parts (a) through (d) below.
a)
How far has the object fallen?
b)
How fast is it traveling?
c)
What is its acceleration?
d)
Explain the meaning of the second derivative of this free-fall function.
b) An accessories company finds that the cost, in dollars, of producing x belts is given by C(x)=720+31x−0.061x2.
Find the rate at which average cost is changing when 180 belts have been produced. And when 180 belts have been produced, the average cost is changing at how much dollar per belt for each additional belt.
a,b,c is answered, just need d.
You carefully observe an object moving along the x-axis and determine that its position as afunction of time is given by;
x(t) = 2t − 3t^2+ t^3.
(a) What is the position at time t = 2s?
= 0m
(b) What is the velocity at time t = 2s?
= 2m/s
(c) What is the acceleration at time t = 2s?
= 6m/s^2
(d) how far did it travel between times t = 0s and t = 2s? (Distance not displacement, plot x vs. t graph)
Chapter 2 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
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