A particle projected from origin moves in $x-y$ plane with a velocity $\vec{v}=3 \hat{i}+6 x \hat{j}$, where $\hat{i}$ and $\hat{j}$ are the unit vectors along $x$ and $y$ axis. Find the equation of path followed by the particle
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.
Starting from the origin at time $t=0,$ with initial velocity $5 \hat{ j }\, ms ^{-1},$ a particle moves in the $x-y$ plane with a constant acceleration of $(10 \hat{ i }+4 \hat{ j })\, ms ^{-2}$. At time $t$, its coordinates are $\left(20\, m , y _{0}\, m \right) .$ The values of $t$ and $y _{0},$ are respectively
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
A vector has both magnitude and direction. Does it mean that anything that has magnitude and direction is necessarily a vector? The rotation of a body can be specified by the direction of the axis of rotation, and the angle of rotation about the axis. Does that make any rotation a vector?