The figure shows a velocity-time graph of a particle moving along a straight line Identify the region in which the rate of change of velocity $\left| {\frac{{\Delta \vec v}}{{\Delta t}}} \right|$ of the particle is maximum
$0$ to $2\,\,s$
$2$ $4\,\,s$
$4$ to $6 \,\,s$
$6$ to $8\,\, s$
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 :-
Read each statement below carefully and state, with reasons and examples, if it is true or false :
A scalar quantity is one that
$(a)$ is conserved in a process
$(b)$ can never take negative values
$(c)$ must be dimensionless
$(d)$ does not vary from one point to another in space
$(e)$ has the same value for observers with different orientations of axes.
The trajectory of a particle moving in vast maidan is as shown in the figure. The coordinates of a position A are $(0,2)$. The coordinates of another point at which the instantaneous velocity is same as the average velocity between the points are
Two balls are thrown horizontally from the top of a tower with velocities $v_1$ and $v_2$ in opposite directions at the same time. After how much time the angle between velocities of balls becomes $90^o$ ?