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Q.

Two cars start off to race with velocities 4 m/s and 2 m/s and travel in straight line with uniform accelerations 1 m/s2 and 2 m/s2 respectively. If they reach the final point at the same instant, then find the length of the path (in meter).

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answer is 24.

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Detailed Solution

s=2t+12(2)t2=4t+12.1.t2or 4t+0.5t2=2t+t2or t22=2t  or t=0 and t=4ss=(4)(4)+12(1)(4)2=16+8=24m
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Two cars start off to race with velocities 4 m/s and 2 m/s and travel in straight line with uniform accelerations 1 m/s2 and 2 m/s2 respectively. If they reach the final point at the same instant, then find the length of the path (in meter).