Which one of the following statements is not true about the motion of a projectile?
The time of flight of a projectile is proportional to the speed with which it is projected at a given angle of projection
The horizontal range of a projectile is proportional to the square root of the speed with which it is projected
For a given speed of projection, the angle of projection for maximum range is $45^{\circ}$
At maximum height, the acceleration due to gravity is perpendicular to the velocity of the projectile
The equation of motion of a projectile is: $y = 12x - \frac{5}{9}{x^2}$. The horizontal component of velocity is $3\ ms^{- 1}$ . Given that $g = 10\ ms^{- 2}$ , .......... $m$ is the range of the projectile .
Two stones having different masses $m_1$ and $m_2$ are projected at an angle $\alpha$ and $\left(90^{\circ}-\alpha\right)$ with same speed from same point. The ratio of their maximum heights is
A ball is thrown from a point with a speed ${v_o}$ at an angle of projection $\theta $. From the same point and at the same instant a person starts running with a constant speed ${v_o}/2$ to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection
The ranges and heights for two projectiles projected with the same initial velocity at angles $42^{\circ}$ and $48^{\circ}$ with the horizontal are ${R}_{1}, {R}_{2}$ and ${H}_{1}$, ${H}_{2}$ respectively. Choose the correct option:
For a projectile, the ratio of maximum height reached to the square of flight time is ($g = 10 ms^{-2}$)