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A body travels in distance of 20 m in th...

A body travels in distance of 20 m in the 7th second and 24 m in 9 th second. How much distance shall it travel in the 15 th second?

A

20m

B

42m

C

38m

D

36m

Text Solution

Verified by Experts

The correct Answer is:
D
here `D_(7)=20m, D_(9)=240m, D_(15)m=?`
`D_(n)=u+a/2(2n-1)`
`D_(7)=u+a/2(2xx7-1)` or `20=u+(13a)/2`..i
and `D_(9)=u+a/2(2xx9-1)` or`24=u+17/2a`……ii
Subracting eqn ii from eqn I we get `4=2a` or `a=2ms^(-2)`
putting this value in eqn (i) we get
`20=u+13/2xx1u+13` or `u=20-13=7ms^(-1)`
`:.D_(15)=u+a/2(2xx15-1)=7+2/2xx29=36m`
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