Question

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

Answer 1

Given - moving with uniform acceleration.....

T1 = 4s
T2 = 5s

Uniform acceleration in the interval between 4th and 5th seconds =
= (5u + 1/2 * a * 5^2) - (4u + 1/2 * a * 4^2)
= 5u + 1/2 *a * 25 - 4u + 1/2 * a * 16
= u + 1/2 * a * (25-16)
= u + 1/2 * a * 9
= u + 9/2 * a
If it starts from rest then the displacement will be 9/2a.

Hope this helps!

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