A particle is moving in a straight line and passes through a point 
with a velocity of 
The particle moves with a constant retardation of 
for 4 s and there after moves with constant velocity. How long after leaving 
does the particle return to 
Text Solution
Verified by ExpertsB
Let the particle moves toward right with velocity 6 m/s. Due to retardation after time 
its velocity becomes zero.
From 
⇒ ⇒ 
⇒ ⇒ 
But retardation works on it for 4 sec. It means after reaching point A direction of motion get reversed and acceleration works on the particle for next one second.
Now velocity of the particle at point B in return journey
In return journey from B to C , particle moves with constant velocity 2 m/s to cover the distance 8 m.
Time taken 
Total time taken by particle to return at point 0 is ⇒ ⇒ 
.
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