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.........$hrs$

The trajectory of a projectile in a vertical plane is $y =\alpha x -\beta x ^{2},$ where $\alpha$ and $\beta$ are constants and $x \& y$ are respectively the horizontal and vertical distances of the projectile from the point of projection. The angle of projection $\theta$ and the maximum height attained $H$ are respectively given by :-

A man on a rectilinearly moving cart, facing the direction of motion, throws a ball straight up with respect to himself

What do you mean by projectile motion and projectile particle ? Find the value of the position of a projectile particle at any instant of time.

The position of a particle moving along $x$-axis given by $x=\left(-2 t^3+3 t^2+5\right) m$. The acceleration of particle at the instant its velocity becomes zero is ....... $m / s ^2$

Let $\vec v$ and $\vec a$ denote the velocity and acceleration respectively of a body in one-dimensional motion