Time of Flight with Ground as Frame of Reference

Q.

A particle is projected at an angle of ${37}^{\circ }$ with an inclined plane as shown in figure. Calculate:

(i) Time of flight of particle.

(ii) Distance traveled by particle (AB) along the inclined plane

1. Time of flight = $\frac{12}{5}$sec

   Distance along incline = $\frac{12}{5}(8-6\sqrt{3})m$

2. Time of flight = 2 sec

   Distance along incline = 16 m

3. Time of flight = 3 sec

   Distance along incline = 6 m

4. Time of flight = $\frac{12}{5}$sec

   Distance along incline = $(8-6\sqrt{3})m$

Q. On an inclined plane of inclination ${30}^{\circ }$, a ball is thrown at an angle of ${60}^{\circ }$ with the horizontal, from the foot of the incline, with a velocity of $10\sqrt{3}{\text{ms}}^{-1}$. Then, the ball will hit the inclined plane in time: (take $g=10m{s}^{-2}$)

1. $1s$
2. $2s$
3. $2\sqrt{3}s$
4. $4\sqrt{3}s$