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

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by ACV

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by ACV

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Distance travelled by a particle travelling with uniform acceleration(a) and initial velocity(u) in a straight line in the second is given as

given that

Subtracting second equation from the first, we get

30 = 5a

⇒ a = 30/5 = 6 m/s²

from the first equation,

**Acceleration is 6m/s² and the initial velocity is 10m/s.**

given that

Subtracting second equation from the first, we get

30 = 5a

⇒ a = 30/5 = 6 m/s²

from the first equation,