Choose the correct alternative $(s)$
If the greatest height to which a man can throw a stone is $h,$ then the greatest horizontal distance upto which he can throw the stone is $2h$.
The angle of projection for a projectile motion whose range $R$ is n times the maximum height is $\,\,tan^{-1} (4/n)$
The time of flight $T$ and the horizontal range $R$ of a projectile are connected by the equation $gT^2 = 2Rtan\theta$ where $\theta$ is the angle of projection.
All of the above
A projectile fired with initial velocity $u$ at some angle $\theta $ has a range $R$. If the initial velocity be doubled at the same angle of projection, then the range will be
The equation of motion of a projectile is $y = Ax -Bx^2$ where $A$ and $B$ are the constants of motion. The horizontal range of the projectile is
A projectile is thrown with a velocity of $50\,\, ms^{^{-1}}$ at an angle of $53^o$ with the horizontal .Choose the incorrect statement
From the ground level, a ball is to be shot with a certain speed. Graph shows the range $(R)$ of the particle versus the angle of projection from horizontal ( $\theta $ ). Values of $\theta _1$ and $\theta _2$ are
A particle is projected from a horizontal plane ($x-z$ plane) such that its velocity vector at time t is given by $\vec V = a\hat i + (b - ct)\hat j$ Its range on the horizontal plane is given by