When acceleration and average acceleration are equal for moving object ?

Similar Questions

In the $s-t$ equation $\left(s=10+20 t-5 t^2\right)$, match the following columns.
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

The displacement of a particle as a function of time is shown in the figure. The figure shows that

The displacement of a particle after time $t$ is given by $x = \left( {k/{b^2}} \right)\left( {1 - {e^{ - bt}}} \right)$ where $b$ is a constant. What is the acceleration of the particle? 

Suggest a suitable physical situation for following graphs.

A particle moving along $x-$axis has acceleration $f$, at time $t$ , given by $ f=f_0$$\left( {1 - \frac{t}{T}} \right)$, where $f_0$ and $T$ are constants. The particle at $t=0$ has zero velocity . In the time interval between $t=0$ and the instant when $f=0$ , the particle 's velocity $(v_x)$ is 

  • [AIPMT 2007]