The acceleration of a moving body can be found from
Area under velocity-time graph
Area under distance-time graph
Slope of the velocity-time graph
Slope of distance-time graph
If velocity of particle moving along $x-$ axis is given as $v = k\sqrt x $ . Then ($a$ is acceleration)
A particle of unit mass undergoes one dimensional motion such that its velocity varies according to $ v(x)= \beta {x^{ - 2n}}$, where $\beta$ and $n$ are constants and $x$ is the position of the particle. The acceleration of the particle as a function of $x$, is given by
Colum $I$ | Colum $II$ |
$(A)$ Distance travelled in $3\,s$ | $(p)$ $-20$ units |
$(B)$ Displacement in $1\,s$ | $(q)$ $15$ units |
$(C)$ Initial acceleration | $(r)$ $25$ units |
$(D)$ Velocity at $4\,s$ | $(s)$ $-10$ units |
Draw $x \to t$ graph for negative acceleration.