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Question

Two cars start off to a race with velocity 4m/s and 2m/s & travel straight line with uniform acceleration 1m/s2 and 2m/s2 respectively. If they reach the final point at the same instant, then the length of the path is :

A
30m
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B
32m
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C
20m
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D
24m
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Solution

The correct option is A 24m
Let the length of the path is s
Now, s=4t+12.1.t2=2t+12.2.t2
or, 4t+0.5t2=2t+t2
or,t22=2t
or,t=0 and 4

Now. t=0 denotes the starting time. Hence for the final instance we take t=4s
So, s=(2.4+12.2.42) m=24m

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