A ball is projected with velocity ${V_o}$ at an angle of elevation $30^°$. Mark the correct statement
Kinetic energy will be zero at the highest point of the trajectory
Vertical component of momentum will be conserved
Horizontal component of momentum will be conserved
Gravitational potential energy will be minimum at the highest point of the trajectory
Galileo, in his book Two new sciences, stated that “for elevations which exceed or fall short of $45^o$ by equal amounts, the ranges are equal”. Prove this statement.
The velocity at the maximum height of a projectile is half of its initial velocity $u$. Its range on the horizontal plane is
A ball is projected with kinetic energy $E$, at an angle of $60^{\circ}$ to the horizontal. The kinetic energy of this ball at the highest point of its flight will become.
A projectile crosses two walls of equal height $H$ symmetrically as shown The maximum height of the projectile is ........ $m$
Two stones are projected so as to reach the same distance from the point of projection on a horizontal surface. The maximum height reached by one exceeds the other by an amount equal to half the sum of the height attained by them. Then, angle of projection of the stone which attains smaller height is $........$