The position of an object moving along an x axis is given by x = 3.15 t-4.40 t² + 1.08 t3, where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity from t=2stot = 4s?
The position of an object moving along an x axis is given by x = 3.15 t-4.40 t² + 1.08 t3, where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity from t=2stot = 4s?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:The position of an object moving along an x axis is
given by x = 3.15 t-4.40 t² + 1.08 t3, where x is in
meters and t in seconds. Find the position of the
object at the following values of t: (a) 1 s, (b) 2 s, (c)
3 s, and (d) 4 s. (e) What is the object's displacement
between t = 0 and t = 4 s? (f) What is its average
velocity from t = 2 stot = 4s?
(a) Number
(b) Number
(c) Number
(d) Number
i-0.17
i-266
(e) Number i
i-0.99 Units
(f) Number i
Units
11.32
Units
Units
Units
Units
m
m
M
M
î
î
î
Given Info:
Position X-3.15t-4.407² +1.08€³
where x is in meter an tin seconds.
a) At t=1sec-
x/t=
= 3.15-4.40.1² +1.08.1³
= 3.15-4.0 +1.08
d) At t=4 sec -
x/t = (3.15.4 -4.40.4²³ +1.08.4³) meter
= 11.32 meter = 11.32
= -0.17 meter = -0.17m
b) At t=2sec
x/t=13.15.2-4.40.2² +1.08-2³) meter
= -2.66 meters
= -2.66m
c) At t= 3 sec
x/t=13.15:3-4.40.5 +1:08:35) Meter
=-0.99 meter = -0.99m
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