An automobile and a truck start from rest at the same instant, with the automobile initially at some distancebehind the truck. The truck has a constant acceleration of 2.2 m/s2 and automobile has an acceleration of 3.5 m/s2. The automobile overtakes the truck when it (truck) has moved 60 m. How far was the automobile behind the truck initially?
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a
35.5 m
b
38.5 m
c
48.5 m
d
50 m
answer is A.
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Detailed Solution
For automobiles2=12a2t2=12×3.5×(7.39)2 =95.5 m For the truck ,S1=12aa1t2=12×2.2×t2=60 ⇒t=7.39 sInitially distance between them,=s2-s1 =35.5 m