EBK PHYSICS FOR SCIENTISTS AND ENGINEER
6th Edition
ISBN: 9781319321710
Author: Mosca
Publisher: VST
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Chapter 3, Problem 51P
To determine
To Find: The instantaneous velocity and instantaneous acceleration vectors as functions of time.
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A particle has a position vector given by r(t)=30 t i + (40t-tt^2) i, where r(t) is in meters and t is in seconds. Find the instantaneous velocity and instantaneous acceleration vectors as a function of time.
A particle is moving in three dimensions and its position vector is given by;
r(t) = (4t² + 1.7t) î + (1.5t − 2.1)ĵ + (2.7t³ + 2t) k
where r is in meters and t is in seconds. Determine the magnitude of the instantaneous velocity at t = 3s. Express your answer in units of m/s using one decimal
place.
Answer:
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.
Chapter 3 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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