Rolling ball Free fall question

[DrDanger]

Homework Statement

A ball moving with constant speed 1.0 m/s on a horizontal table rolls off the edge of the table. The ball hits the floor 0.50 seconds after leaving the edge. Suppose you roll the same ball on the same table with constant speed 2.0 m/s. After leaving the edge of the table, how long does it for this faster ball to hit the floor? Neglect air friction.

Homework Equations

The Attempt at a Solution

It would take the second ball .5 seconds just like the first ball because the x and y motions are independent of each other, right?

 

[Dadface]

Homework Statement

A ball moving with constant speed 1.0 m/s on a horizontal table rolls off the edge of the table. The ball hits the floor 0.50 seconds after leaving the edge. Suppose you roll the same ball on the same table with constant speed 2.0 m/s. After leaving the edge of the table, how long does it for this faster ball to hit the floor? Neglect air friction.

Homework Equations

The Attempt at a Solution

It would take the second ball .5 seconds just like the first ball because the x and y motions are independent of each other, right?

Correct.

 

[tomcue]

Yes, that is correct. The time it takes for the ball to hit the floor is only dependent on the vertical motion, which is the same for both balls in this scenario. So, neglecting air friction, the time it takes for the faster ball to hit the floor would also be 0.50 seconds.