Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Here is the question: A cannonball is hot from a cannon at an angle of 30 degree

ID: 1287699 • Letter: H

Question

Here is the question: A cannonball is hot from a cannon at an angle of 30 degrees above the horizontal. Which of the following choices is correct concerning the resulting velocity of the projectile motion?

Answer : The velocity is a minimum at the top of its path.

I don't see how the velocity is a minimum at the top of its path. I thought it would be maximum not minimum. Also, how is the horizontal component of the displacement of the projectile remains constatnt during projectile motion?

I would really appreciate your help! :) Thank you!

Explanation / Answer

Consider motion in X-Y plane..

Now in X direction there is no acceleration but in Y direction there is an acceleration of 9.81m/s^2 due to gravity.

Hence the velocity in x direction of cannon ball remains same.

And in Y direction first it goes upwards but the gravity force is downwards.

Hence velocity gets reduced and finally reaches 0 at the topmost point.

If you take the resultant of both X Y directions of velocity at topmost point it would be minimum as X direction velocity is constant for the whole motion but for Y direction its 0..

Hope you understood..

If anymore doubt please ask