Essential University Physics
4th Edition
ISBN: 9780134988559
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 3, Problem 55P
A particle’s position is
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A particle moving with an initial velocity v, = (10m/s)î and initial position 7, = (4m)î + (2m)j,
undergoes an acceleration ở = 2t²î + 4ĵ in SI units.
For t = 10 s;
a) Calculate the velcoity v= vxI+ vy®.
b) Calculate the position r= x+ y.
c) What are the magnitudes of the velocity and the position vector of
the particle?
d) Find also the angle each vector is making with the x-axis at that
time.
The position vector of a particle is given as
r = (t^2-6t+8)i + (t^2-9)j
Find the magnitude and direction of the particle’s position, velocity, and acceleration at ? = 2?. Find the magnitude and direction of the particle’s displacement, average velocity and average acceleration for the time period ? = 2? to ? = 3?.
The position vector of a particle moving in the xy-plane is given by
(At, Bt¹)
r =
where t is the time in seconds. A and B are constants with the values
A 4.5 ms 1, B = 8.0 ms-4.
=
ms¹,
(a) Calculate the magnitude of the particle's displacement from the
origin at time t = 2.0s.
(b) Find the particle's acceleration vector, a, at time t = 2.0s.
Chapter 3 Solutions
Essential University Physics
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