Three cannons are located at the top of a cliff above a level plain. Cannon A is aimed at an angle of 25° above the horizontal and shoots cannonballs with a speed of 85 m/s. Cannon B is aimed directly horizontally and shoots with a speed of 100 m/s. Cannon C is aimed 25° below the horizontal and shoots with a speed of 75 m/s. Which of the cannonballs will hit the ground with the greatest speed? The three cannonballs are not necessarily the same mass.

Question

Karli Stout

Physics

11 May, 10:46

Three cannons are located at the top of a cliff above a level plain. Cannon A is aimed at an angle of 25° above the horizontal and shoots cannonballs with a speed of 85 m/s. Cannon B is aimed directly horizontally and shoots with a speed of 100 m/s. Cannon C is aimed 25° below the horizontal and shoots with a speed of 75 m/s. Which of the cannonballs will hit the ground with the greatest speed? The three cannonballs are not necessarily the same mass.

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Answers (1)

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Jamal Jenkins · Answer 1

The canon B hits the ground fast.

Explanation:

Given that,

Speed of cannon A = 85 m/s

Speed of cannon B = 100 m/s

Speed of cannon C = 75 m/s

We need to calculate the cannonballs will hit the ground with the greatest speed

Using conservation of energy

The final kinetic energy of canon depends on initial kinetic energy and potential energy.

The final velocity depends upon initial velocity and initial height.

So, the initial velocity of canon B is high.

Hence, The canon B hits the ground fast.