A cannonball is launched off a 100 m cliff horizontally with an initial velocity of 50 m/s. The goal is to hit a target 200m away but the cannonball goes too far. Which of

these changes could make the cannonball travel a shorter distance?

a) Decrease the launch speed of the cannon.

UbNeither of these will decrease the range of the cannonball

d Both of these will decrease the range of the cannonball

Lower the launch height of the cannon.

the correct one is b,  Decrease the launch speed and Low the launch height

Explanation:

Let's find the solution to the problem in order to answer the questions.

The bullet is fired horizontally with a velocity vo, let's find the time or it takes to reach the ground

      y = y₀ + t - ½ g t²

as it shoots horizontally v_{oy} = 0 and when I reach the floor y = 0

       0 = y₀ - ½ g t2

       t =

where y₀ is the height of the cliff

at this time the bullet recreates a distance of

       x = v₀ t

we substitute

       x = v₀ \sqrt{\frac{2y_{o} }{g} }

There, to reduce the range of the bullet, we must decrease its speed. This is the magnitude that most affects the distance and to a lesser degree we can decrease the height.

When checking the answers, the correct one is b

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