A stone is projected with velocity $80m/s$ making an angle of ${30}^o$ with the horizontal. The horizontal component of its velocity after $2$ second is $(g=10m/s^2)$

Q. A particle is projected from the bottom of an inclined plane of inclination ${30}^{\circ }$ (with the horizontal) with speed $40\text{m/s}$ at an angle ${60}^{\circ }$ with the horizontal. The speed of the particle when its velocity vector is parallel to inclined plane is $(g=10{\text{m/s}}^2)$

Q. A ball is projected with a velocity $20\sqrt{3}m/s$ at angle ${60}^o$ to the horizontal. The time interval after which the velocity vector will make an angle ${30}^o$ to the horizontal is (in seconds)

Q. A stone is projected from the top of a tower with velocity $20m/s$ making an angle of elevation of ${30}^o$ with the horizontal. If the total time of flight is $5s$ and $g=10m/s^2$, then

Q. A particle is projected from the ground at an angle of ${60}^o$ with horizontal with a speed $u=20m/s$. The radius of curvature of the path of the particle, when its velocity makes an angle of ${30}^o$ with the horizontal is $(g=10m/s^2)$

Q. A body is projected with a velocity of $20m/s$ making an angle ${45}^o$ with the horizontal. Its path (in m) is represented by $(g=10m{s}^{-2})$