Answer to Question #94005 in Classical Mechanics for Ashutosh Dash

Question

two guns are pointed at each other one upward at 30° and other at same angle of depression. The nozzle being 30m apart. Of the guns are shot with a velocity of 350 m/s upward and 300m/s downward. Find when and where they will meet.

Answer 1

We have:

$$x_1+x_2=x$$

$$v_1\cos{30\degree}t+v_1\cos{30\degree}t=x$$

$$t=\frac{30}{(350+300)cos{30\degree}}=0.053\ s$$

The distance from first gun:

$$d=x_1=v_1\cos{30\degree}t=(350)(0.053)\cos{30\degree}=16\ m$$