Moving with uniform acceleration, a body covers 150m during 10s so that it covers 24m during 10th sec. Find the initial velocity
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a
5m/s
b
2m/s
c
3m/s
d
4m/s
answer is A.
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Detailed Solution
Let initial velocity of the body be u and ‘a’ be its accelerationGiven that S=150mt=10S∴ From equation S=ut+12at2150=u10+12a102 ⇒u+5a=15..........(1) And also Distance travelled in 10th sec is 24m i.e n=10 &Sn=24 mFrom equation ∴Sn=u+an−12⇒24=u+a10−12⇒24=u+192a⇒2u+19a=48…………….(2)On solving (1) & (2)acceleration a=2 m/s2......(3)And initial velocity u=5 m /s