# Obtain a relation for the distance travelled by an object moving with a uniform acceleration in the interval between 4th and 5th seconds.

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Obtain a relation for the distance travelled by an object moving with a uniform acceleration in the interval between 4th and 5th seconds.

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Using the equation of motion

s = ut + at 1/ 2 at2

Distance travelled in 5 s                           s = u × 5 +1/2 a × 52

or s = 5 u + 25/ 2 a ——(i)

Similarly, distance travelled in 4 s, s′ = 4 u + 16/ 2 a——(ii)

Distance travelled in the interval between 4th and 5th second

= (s – s′) = (u  +9/2 a) m