Question

Mediante un dispositivo mecánico se lanza en forma de tiro vertical una esfera de billar la cual llega a una altura Maxima de 500 metros.

¿ Cual es la Velocidad con que se lanza la esfera de billar? ​

Answer 1

The speed with which the billiard sphere is launched to reach a maximum height of 500 meters is 98.99 meters per second.

How to find the speed ?

To determine the launch speed of the billiard sphere, we can use the principles of kinematics, specifically the equations of motion for uniformly accelerated motion under gravity.

When an object is launched vertically upwards, it decelerates due to gravity until it reaches its maximum height, where its velocity becomes zero for an instant before it starts falling back down.

The relevant equation of motion is:

`\[ v^2 = u^2 + 2as \]`

Rearranging the equation to solve for u :

`\[ u^2 = v^2 - 2as \]`

Plugging in the values and solving for u :

`\[ u^2 = 0^2 - 2 * (-9.8) * 500 \]`

`\[ u = √(2 * 9.8 * 500) \]`

= 98.99 meters per second