A particle moving along a straight line is subjected to a deceleration a = -3v m/s, where v is in m/ s. If it has a velocity v = 7 m/s and a position s = 9 m when t = 0, determine its velocity %3D and position when t = 5s.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Task 1
(a) A particle moving along a straight line is subjected to a deceleration a = -3v m/s, where v is
in m/ s. If it has a velocity v = 7 m/s and a position s = 9 m whent = 0, determine its velocity
and position when t = 5s.
(b) Design considerations for a bumper on a 4900 kg train require the use of a nonlinear spring
having the load deflection characteristics of F=ks Select the value of k so that the
maximum deflection of the spring is limited to 0.22 m when the train, traveling at 3.8 m/ s,
strikes a rigid stop. Suggest how to find the time needed for the train to stop.
Transcribed Image Text:Task 1 (a) A particle moving along a straight line is subjected to a deceleration a = -3v m/s, where v is in m/ s. If it has a velocity v = 7 m/s and a position s = 9 m whent = 0, determine its velocity and position when t = 5s. (b) Design considerations for a bumper on a 4900 kg train require the use of a nonlinear spring having the load deflection characteristics of F=ks Select the value of k so that the maximum deflection of the spring is limited to 0.22 m when the train, traveling at 3.8 m/ s, strikes a rigid stop. Suggest how to find the time needed for the train to stop.
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