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Question

Question: If a body starts from rest and travels 120 cm in the 6<sup>th</sup> second, then what is the acceler...

If a body starts from rest and travels 120 cm in the 6th second, then what is the acceleration

A

0.20 m/s2m/s^{2}

B

0.027 m/s2m/s^{2}

C

0.218 m/s2\mathbf{m/}\mathbf{s}^{\mathbf{2}}

D

0.03 m/s2m/s^{2}

Answer

0.218 m/s2\mathbf{m/}\mathbf{s}^{\mathbf{2}}

Explanation

Solution

Sn=u+a2(2n1)S_{n} = u + \frac{a}{2}(2n - 1)1.2=0+a2(2×61)1.2 = 0 + \frac{a}{2}(2 \times 6 - 1)

a=1.2×211=0.2186mum/s2a = \frac{1.2 \times 2}{11} = 0.218\mspace{6mu} m/s^{2}