You are on a rooftop and you throw one ball straight down and another straight up. The second ball, after rising, falls and also strikes the ground below.

If air resistance can be neglected and if your downward and upward initial speeds are the same, how will the speed of the balls compare upon striking the ground?

1. The speed of the second ball is smaller than that of the first one.

2. The speed of the second ball is larger than that of the first one.

3. They have same speed.

4. More information is needed

Respuesta :

Answer:

2 the speed of the second ball is larger than that of the first one

Explanation:

Using the equations of motion

The second ball was thrown up , on getting to its highest point V=0, H=1/2gt^2

The second ball was. Now has two heights , the distance from the rooftop and the height it reached when the ball was thrown up.

v^2= u^2+2a(H1+H2)

The first ball has a velocity of v^2=2gH

Therefore the second ball velocity is larger than the first ball

The second ball velocity is larger than the first ball because second has more height than the first ball. Option 2 is correct.

 

From the equations of motion,  

The second ball was thrown up , on getting to its highest point V=0,

[tex]\bold {H = \dfrac 12gt^2}[/tex]

Where,

H - height

g - gravitational acceleration

t - time  

The second ball has two heights, one the distance from the rooftop and the another that it reached when the ball thrown up.

So, Velocity of the second ball,

[tex]\bold {v^2= u^2+2a(H1+H2)}[/tex])

Velocity of second ball,

[tex]\bold { v^2=2gH}[/tex]

Therefore, the second ball velocity is larger than the first ball because second has more height than the first ball.

To know more about Velocity,

https://brainly.com/question/862972