Find the instantaneous velocity of the particle described in the figure below at the followx(m)106.42(s)46-2-4(a)t = 1.3 sm/s(b)t = 3.1 sm/s(c) t = 4.8 sm/s(d)t = 7.1 sm/s

Answered: Find the instantaneous velocity of the…

Find the instantaneous velocity of the particle described in the figure below at the x(m) 10 8- 6 4 (s) 1 4 6 -2 -4 t = 1.3 s m/s (a) t = 3.1 s m/s (b) t = 4.8 s m/s (c) (d) t = 7.1 s m/s

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.45P

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Question

Find the instantaneous velocity of the particle described in the figure below at the follow
x(m)
10
6.
4
2
(s)
4
6
-2
-4
(a)
t = 1.3 s
m/s
(b)
t = 3.1 s
m/s
(c) t = 4.8 s
m/s
(d)
t = 7.1 s
m/s

Expert Solution

Step 1

Given is position vs time Graph

Instantaneous velocity (v)= slope of position vs time graph at that instant

= dx/dt

(a) t= 1.3 s

v = dx/dt

=10/2 = 5 m/s

Slope is same for t=0 to t= 2 s

(b) t = 3.1 s

v = dx /dt = ∆x/∆t

= (5-10)/(4-2)

= -5/2 = - 2.5m/s

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