Projector

Statement of the problem

This is a very simple two dimensional kinematic problem. A cannonball is fired as shown in the above picture. We are looking for the displacement, velocity of the cannonball.

Exercises

1. By moving the Slider or input a number in the box, set mass of B, for example, 150 kg.
2. Set initial velocity of the ball to its maximum.
3. Set the initial angle of ball equal to zero.
4. Run the program until the ball hit the ground then Stop it.
5. Reset program but do not Erase Track, repeat the procedure 1-4. But this time try different initial angle to see which angle gives the ball maximum displacement in horizontal direction. According to your textbook, the initial angle of gives you the maximum displacement, is it true? Why?
6. Keep the initial angle as and mass as 150 kg but reduce the initial velocity, what is the difference from your observation?
7. Keep the initial angle as and initial velocity as its maximum, but now reduce the mass, Does anything change from your observation? Why?

Think Twice

If the initial velocity of cannonball is and its initial angle is , Can you find the velocity and position of cannonball as a function of time in x and y direction? Also find the relation of displacements between x(t) and y(t).

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