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Rectilinear Motion

Question

A particle is moving along x-axis. Its x-coordinate varies with time as :
x=-20+5t2
For the given equation match the following two columns :

Column IColumn II 
(a) Particle will cross the origin at (p) zero second
(b) At what time velocity and acceleration are equal(q) 1 s
(c) At what time particle changes its direction of motion (r) 2 s
(d) At what time velocity is zero(s) None of the above

 

Moderate
Solution

 (a) x=0 at t=2 s
(b)v=dxdt=10t
and   a=dvdt=10
(c) v=10 t
v=a at 1 s
 Velocity is positive all the time.
(d) v=0 at t=0 s



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