The graph below shows the velocity versus time graph for a body.
Which of the following graphs represents the corresponding acceleration $v/s$ time graph ?
Refer to the graph in figure. Match the following
Graph | Characteristics |
$(A)$ | $(i)$ has $v > 0$ and $a < 0$ throughout |
$(B)$ | $(ii)$ has $x > 0,$ throughout and has a point with $v = 0$ and a point with $a = 0$ |
$(C)$ | $(iii)$ has a point with zero displacement for $t > 0$ |
$(D)$ | $(iv)$ has $v < 0$ and $a > 0$ |
A particle moves a distance $x$ in time $t$ according to equation $x = (t + 5)^{-1}$ The acceleration of particle is proportional to
A train starting from rest travels the first part of its journey with constant acceleration $a$ , second part with constant velocity $v$ and third part with constant retardation $a$ , being brought to rest. The average speed for the whole journey is $\frac{{7v}}{8}$. The train travels with constant velocity for $...$ of the total time