Question

A particle is moving in a straight line with initial velocity `u` and uniform acceleration `f`. If the sum of the distances travelled in `t^(th) and (t + 1)^(th)` seconds is `100 cm`, then its velocity after `t` seconds, in `cm//s`, is.
A. 20
B. 30
C. 50
D. 80

Answer 1

Correct Answer - C
Sum of distance travelled in `t^(th)` and `(t + 1)^(th)`
seconds is `100 cm`
`u + (a)/(2)(2t - 1)+ u + (a)/(2)(2(t + 1) - 1) = 100`
`2u + 2ft = 100`
`u + ft = 100//2 rArr v = 50 cm//s`.