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CBSE Class 11-science Answered

a particle start from rest and move along a straight line with uniform acceleration.the ratio of time taken to cover successive distance in the ratio 1:3 is
Asked by hy9022075 | 10 Jan, 2023, 09:06: PM
answered-by-expert Expert Answer
Let a be acceleration
 
initial velocity for first second travel , u1 = 0
 
Distance travelled in first second, S1 = u1 t + (1/2) a t2   = (1/2) a
 
initial velocity for second second travel , u2 = u1 + a t = a
 
Distance travelled in first second, S2 =  a+(1/2)a = (3/2) a

Ratio S1 : S2  = (1/2)a : (3/2)a = 1 : 3
 
At end of 1 second ,  we get ratio of  distances travelled in subsequent interval is 1 : 3

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