Projectile Motion-II

Classical Mechanics Level 1

Given that the trajectory of a projectile is represented by 3 x − g x 2 2 , \sqrt { 3 } x-\frac { g{ x }^{ 2 } }{ 2 }, find the angle of projection in degrees.


The answer is 60.

Swapnil Das by Swapnil Das , 20, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

Raj Rajput
Jun 16, 2015

here from above equation on comparing coefficient of x we get that tan(theta)=root3 hence angle is 60 degree .

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Om Patel
Jun 26, 2018

Take the derivative of the function:

sqrt(3) - g*x

Plug in x=0:

sqrt(3)

Therefore, the equation of the line is y = sqrt(3)x.

Noticing that the triangle formed with the line and the x-axis is 30-60-90, the angle is 60 degrees.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Just apply the equation for trajectories and simply manipulating each variable will lead you to a final answer of (theta)=60 degrees.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...