A particle is moving in a straight line with initial velocity u and uniform acceleration f. if the sum of the distances travelled in t and t+1 seconds is 100 cm, then its velocity after t seconds in cm/s is ?

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Answer 1 · 2017-08-02T11:59:47

The velocity is #=(100-1/2f) cms^-1#

We apply the equation of motion

#s=vt+1/2at^2#

#Deltas=vDeltat+1/2a(Deltat)^2#

The velocity after #ts# is #=vcms^-1#

#Deltat=t+1-t=1s#

The acceleration is #a=f cms^-2#

The distance is #Deltas=100cm#

Therefore,

#100=(vxx1)+(1/2xxfxx1)#

#v=(100-1/2f) cms^-1#