The ratio of displacement in $n$ second and in the $n^{th}$ second for a particle moving in a straight line under constant acceleration starting from rest is 

  • A

    $\frac{2n -1}{n^2}$

  • B

    $\frac{1}{n}$

  • C

    $\frac{n^2}{n-1}$

  • D

    $\frac{n^2}{2n-1}$

Similar Questions

The positions of two cars $A$ and $B$ are $X_A = at + bt^2,$ $X_B = ft -t^2$ At what time Both cars will have same velocity

A ball of mass $m_1$ and another ball of mass $m_2$ are dropped from equal height. If time taken by the balls are $t_1$ and $t_2$ respectively, then

The two ends of a train moving with constant acceleration pass a certain point with velocities $u$ and $3 u$. The velocity with which the middle point of the train passes the same point is ........... $u$

If average velocity of particle moving on a straight line is zero in a time interval, then

The displacement $x$ of a particle varies with time $t$ as $x = a{e^{ - \alpha t}} + b{e^{\beta t}}$ , where $a, b, \alpha$ and $\beta $ are positive constants. The velocity of the particle will