Two particles P and Q start from rest and move for equal time on a straight line. Particle P has an acceleration of 2 m/s2 for the first half of the total time and 4 m/s2 for the second half. The particle Q has an acceleration of 4 m/ s2 for the first half of the total time and 2m/s2 for the second half. Which particle has travelled larger distance?
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a
Both have travelled the same distance
b
P has travelled larger distance
c
Q has travelled larger distance
d
None of the above
answer is C.
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Detailed Solution
Assume that total time of journey = 2tthen distance travelled by PDP=12×2t2+(2t)×t+12×4×t2=5t2Distance travelled by QDQ=12×4×t2+4t×t+12×2×t2=7t2DQ > DP