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 point moves with uniform acceleration and $\upsilon _1,\upsilon _2$ and $\upsilon _3$ denote the average velocities in the three successive intervals of time $t_1, t_2$ and $t_3$. Which of the following relations is correct
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
A frictionless wire $AB$ is fixed on a circle of radius $R$. A very small bead slips on this wire. Time taken by bead to slip from $A$ to $B$ is