Question

Question 23
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 motions $s=ut+\frac{1}{2}a{t}^2$
Distance travelled in 5 s $s=u\times 5+\frac{1}{2}a\times 5^2$
or $s=5u+\frac{25}{2}a$ ....(i)
Similarly, distance travelled in 4s, $s^{\prime }=4u+\frac{16}{2}a$ ....(ii)
Distance travelled in the interval between 4th and 5th second is
$(u+\frac{9}{2}a)m$