Statics and Dyn...

Two balls are projected from the same point in directions inclined at 45° and 60° to the horizontal, respectively. If they attain the same height, then the ratio of their velocities of projection is

The product of two times of flight from a point P to another point Q with a given velocity of projection is

A stone of mass m is thrown vertically upwards with a velocity of 9.8 ms^-1 . The height of the point, where KE = PE is (g = 9.8 ms^-2 )

A particle is projected from a point on the horizontal plane so as to just clear two walls each of height 20 m at distances 30 m and 170 m respectively from the point of projection. If α is the angle of projection, then

Two parabolic paths of angles α and β of projection aimed at a target on the horizontal plane through O, fall p units short and the other p units far from the target. If θ is the correct angle of projection so as to hit the target, then sin 2θ is equal to

A sphere S₁ impacting directly on an equal sphere S₂ at rest. If the coefficient of restitution is e, then the velocities of S₁ and S₂ are in the ratio

Given that the force acting on a material point is inversely proportional to the velocity of the moving point. Then, the kinetic energy of the point is a........ function of time.

A particle of mass m is projected from a fixed point O into the air with velocity u in a direction making an angle α with the horizontal. Then, the motion of the particle describes a parabola with the latusrectum

If a particle is projected with a velocity 49 m/s making an angle 60° with the horizontal, its time of flight is