Question

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

Answer 1

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 4^th and 5^th second 

= (s – s′) = (u  +9/2 a) m