Question

2 use the diagram below to answer the following questions. of the positions listed, where would the cannonball have the greatest horizontal velocity? they are all the same of the positions listed, where would the cannonball have the greatest vertical velocity? f of the positions listed, where would the cannonball have the least overall velocity?

Explanation:

Step1: Analyze horizontal velocity

In the absence of air - resistance, horizontal velocity in projectile motion is constant. So the horizontal velocity at all points A - G is the same.

Step2: Analyze vertical velocity

The vertical velocity of a projectile is zero at the maximum - height (point D). As the cannonball falls down, the vertical velocity increases due to the acceleration of gravity ($g$). Point F is lower than other points in the downward - motion part, so it has the greatest vertical velocity among the given points.

Step3: Analyze overall velocity

Overall velocity $v = \sqrt{v_x^2 + v_y^2}$. At the maximum - height (point D), the vertical velocity $v_y = 0$ and the horizontal velocity $v_x$ is non - zero. Since overall velocity is minimum when the vertical component is zero (because $v_x$ is constant), the overall velocity is least at point D.

Answer:

Of the positions listed, where would the cannonball have the greatest HORIZONTAL velocity? They are all the same
Of the positions listed, where would the cannonball have the greatest VERTICAL velocity? F
Of the positions listed, where would the cannonball have the least OVERALL velocity? D