Three balls are thrown off a tall building with the same speed but in different directions. Ball A is thrown in the horizontal direction; ball B starts out at 45° above the horizontal; ball C begins its flight at 45° below the horizontal. Which ball has the greatest speed just before it hits the ground? Assume that the ground near the building is level, and ignore any effects due to air resistance.

Respuesta :

Answer:

All the three ball will have same speed

Explanation:

given,

three balls are thrown from tall building with same speed

Ball A is thrown in the horizontal direction

ball B starts out at 45° above the horizontal

ball C begins its flight at 45° below the horizontal

according to the law of conservation of energy

potential energy is converted into kinetic energy

[tex]\dfrac{1}{2}mv^2 = m g h[/tex]

[tex]v^2 = 2 g h[/tex]

[tex]v = \sqrt{2gh}[/tex]

from the expression above we can say that speed of the ball depend on the height of the ball.

hence, All the three ball will have same speed

The relationship between the speed and height of the three balls is that; each ball will have the same speed.

What is the relationship between speed and height?

We are given that;

Three balls are thrown from tall building with same speed

Ball A is thrown in the horizontal direction.

Ball B starts out at 45° above the horizontal.

Ball C begins its flight at 45° below the horizontal

From law of conservation of energy, we know that potential energy is equal to kinetic energy. Thus;

mgh = ¹/₂mv²

v = √2gh

We have seen the speed is directly proportional to the height and as such since the three balls have the same height, their speeds will be the same.

Read more about speed and height at; https://brainly.com/question/12446886