Time of Flight with Ground as Frame of Reference

Q. A projectile is thrown from the base of an incline of ${30}^{\circ }$ as shown in the figure. It is thrown at an angle of ${60}^{\circ }$ from the horizontal direction at a speed of $10\text{m/s}$. The total time of flight is: $(g=10{\text{m/s}}^2)$

1. $\frac{2}{\sqrt{3}}\text{s}$
2. $\frac{\sqrt{3}}{2}\text{s}$
3. $\sqrt{3}\text{s}$
4. $0.5\text{s}$

Q.

A particle is projected at an angle of ${30}^{\circ }$ with an inclined plane calculate as shown in figure.

(i) Time of flight of particle.

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

1. Time of flight = 3 sec

   Distance along incline = 6 m

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

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

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

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

4. Time of flight = 2 sec

   Distance along incline = 16 m

Q.

If a particle is projected from A normal to the plane calculate

(i) Time of flight?

(ii) AB=?

1. 

2. 

3. Height of point of projection should be given

4. 

Q. The distances traversed during equal interval of time by a freely falling body from rest are in ratio

1. $1:3:5:7..................$
2. $1:4:9:16................$
3. $1:2:3:4..................$
4. $1:1:1:1..................$

Q. A particle is projected from a point at the foot of a fixed plane inclined at angle ${45}^{\circ }$ to the horizontal, in the vertical plane containing the line of greatest slope through the point. If $\theta (>{45}^{\circ }$) is the inclination to the horizontal of the initial direction of projection, for what values of $\tan \theta$ will the particle strike the plane horizontally?

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