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Question: If a body having initial velocity zero is moving with uniform acceleration \(8m/\sec^{2},\)the dista...

If a body having initial velocity zero is moving with uniform acceleration 8m/sec⁡2,8m/\sec^{2},the distance travelled by it in fifth second will be

A

36 metres

B

40 metres

C

100 metres

D

Zero

Answer

36 metres

Explanation

Solution

Sn=u+12a(2n−1)=0+12(8)[2×5−1]=36metresS_{n} = u + \frac{1}{2}a(2n - 1)\mathbf{= 0 +}\frac{\mathbf{1}}{\mathbf{2}}\mathbf{(8)\lbrack 2}\mathbf{\times}\mathbf{5}\mathbf{-}\mathbf{1\rbrack = 36metres}