A particle moves towards east with velocity $5\, m/s$. After $10$ seconds its direction changes towards north with same velocity. The average acceleration of the particle is
Zero
$\frac{1}{{\sqrt 2 }}\,m/{s^2}\,N - W$
$\frac{1}{{\sqrt 2 }}\,m/{s^2}\,N - E$
$\frac{1}{{\sqrt 2 }}\,m/{s^2}\,S - W$
A body travels $102.5 \mathrm{~m}$ in $\mathrm{n}^{\text {th }}$ second and $115.0 \mathrm{~m}$ in $(n+2)^{\text {th }}$ second. The acceleration is :
The position of a particle moving along the $X-$axis at certain times is given below :Which of the following describes the motion correctly
$\begin{array}{|c|c|c|c|c|} \hline t( s ) & 0 & 1 & 2 & 3 \\ \hline x ( m ) & -2 & 0 & 6 & 16 \\ \hline \end{array} $
Velocity-time $(v-t)$ graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is........$m$
A particle moves along a straight line such that its displacement at any time $t$ is given by $s = (t^3 -3t^2 + 2)\,m$ The displacement when the acceleration becomes zero is........$m$
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 $a > 0$ |