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Questions  

A particle moving with constant acceleration covers a distance of 20m in 3rd sec and 40m in 5th sec. What is acceleration of the particle?

a
3 ms−2
b
5 ms−2
c
8 ms−2
d
10 ms−2

detailed solution

Correct option is D

Distance covered in nth  sec Sn=U+an−12  here initial velocity=U;acceleration=aIn⁡3rd sec⁡ Distance covered S3=U+a3−12⇒20=U+5a2………..(1) In 5th sec⁡ Distance covered S5=U+a5−12⇒40=U+9a2……....(2)subtract equation(2)−(1)⇒40−20=9a2−5a2⇒20=a2(9−5)⇒20=a2(4)⇒a=10m/s2

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