A particle is moving eastwards with a speed of $6 \,m / s$. After $6 \,s$, the particle is found to be moving with same speed in a direction $60^{\circ}$ north of east. The magnitude of average acceleration in this interval of time is ....... $m / s ^2$
$6$
$3$
$1$
$0$
A boy is moving with a constant speed $v$ on a small trolley towards a distant circle as shown in the figure. A point mass is moving on the circle with a constant speed $v$, what is the frequency of change in magnitude of relative velocity of the point mass, as observed by the boy.
If position vector of a particle is $\left[ {(3t)\widehat i\, + \,(4{t^2})\widehat j} \right]$ , then obtain its velocity vector for $2\,s$.
A particle is moving in a circular path. The acceleration and momentum of the particle at a certain moment are $\vec a = (4\hat i + 3\hat j)\ m/s^2$ and $\vec p = (8\hat i - 6\hat j)\ kg-m/s$ . The motion of the particle is
The position vector of an object at any time $t$ is given by $3 t^2 \hat{i}+6 t \hat{j}+\hat{k}$. Its velocity along $y$-axis has the magnitude
Which physical quantity can be found by first differntiation and second differentiation of position vector ?