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Calculate initial velocity and acceleration of particle travelling with uniform acceleration in a straight line if it travels 55 m in the 8th second and 85 m in the 13th second of its motion

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by venkateshsma

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by venkateshsma

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u-intial velocity

a-acceleration

55=u+a/2(2*8-1)=u+7.5a.....(1)

similarly 85=u+12.5a.....(2)

(2)-(1)

5a=30

a= 6 m s⁻²

therefore u=55-7.5(6)=55-45=10 m s⁻¹