Which physical quantity can be found by first differntiation and second differentiation of position vector ?
The coordinates of a particle moving in a plane are given by $x = a\cos (pt)$ and $y(t) = b\sin (pt)$ where $a,\,\,b\,( < a)$ and $p$ are positive constants of appropriate dimensions. Then
A particle moves with constant speed $v$ along a regular hexagon $ABCDEF$ in the same order. Then the magnitude of the average velocity for its motion from $A$ to
Derive equation of motion of body moving in two dimensions
$\overrightarrow v \, = \,\overrightarrow {{v_0}} \, + \overrightarrow a t$ and $\overrightarrow r \, = \,\overrightarrow {{r_0}} \, + \overrightarrow {{v_0}} t\, + \,\frac{1}{2}g{t^2}$.
Ship $A$ is sailing towards north -east with velocity $\vec v = 30\,\hat i + 50\hat j\,km/hr$ where $\hat i$ points east and $\hat j$ , north. Ship $B$ is at a distance of $80\, km$ east and $150\, km$ north of Ship $A$ and is sailing towards west at $10\, km/hr$. $A$ will be at minimum distance from $B$ is.........$hrs$
$A$ body $A$ is thrown vertically upwards with such a velocity that it reaches a maximum height of $h$. Simultaneously another body $B$ is dropped from height $h$. It strikes the ground and does not rebound. The velocity of $A$ relative to $B v/s$ time graph is best represented by : (upward direction is positive)