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Question: A body covers 20 m, 22 m, 24 m, in 8<sup>th</sup>, 9<sup>th</sup> and 10<sup>th</sup> seconds respec...

A body covers 20 m, 22 m, 24 m, in 8th, 9th and 10th seconds respectively. The body starts

A

From rest and moves with uniform velocity

B

From rest and moves with uniform acceleration

C

With an initial velocity and moves with uniform acceleration

D

With an initial velocity and moves with uniform velocity

Answer

With an initial velocity and moves with uniform acceleration

Explanation

Solution

As distance travelled in successive seconds differ by 2m each, therefore acceleration is constant

= 2 ms−22 \mathrm {~ms} ^ { - 2 }

For Dn=u+a2(2n−1)\mathrm { D } _ { \mathrm { n } } = \mathrm { u } + \frac { \mathrm { a } } { 2 } ( 2 \mathrm { n } - 1 )

∴Ds=u+22(2×8−1)\therefore \mathrm { Ds } = \mathrm { u } + \frac { 2 } { 2 } ( 2 \times 8 - 1 )

20 = u + 15 or u=5 ms−1\mathrm { u } = 5 \mathrm {~ms} ^ { - 1 }