# Distance traveled by a Ball affected by friction after t seconds

Volt582
Thread moved from the technical math forums to the schoolwork forums
Hi everyone,
i have been trying to find an answer to this problem I have but couldnt find any good answers...
(I dont know much about this stuff, but need a formula for a Project I am currently working on).

So The problem goes as follows:
Assuming we have a ball with a mass of m which is rolling on a flat surface with an initial velocity of v. Lets call the friction coefficiant between the surface and the Ball p. How much distance will the ball have traveled after t seconds when it is constantly affected by friction?

Homework Helper
Gold Member
2022 Award
Hi everyone,
i have been trying to find an answer to this problem I have but couldnt find any good answers...
(I dont know much about this stuff, but need a formula for a Project I am currently working on).

So The problem goes as follows:
Assuming we have a ball with a mass of m which is rolling on a flat surface with an initial velocity of v. Lets call the friction coefficiant between the surface and the Ball p. How much distance will the ball have traveled after t seconds when it is constantly affected by friction?
A rolling ball is slowly by rolling resistance, rather than friction. In any case, we can assume a constant rate of deceleration. What do you know about motion with constant acceleration?

• Volt582
Volt582
A rolling ball is slowly by rolling resistance, rather than friction. In any case, we can assume a constant rate of deceleration. What do you know about motion with constant acceleration?
When I have a constant acceleration I should be able to calculate the distance... But how could you calculate the deceleration?

And maybe another question: Do you think that air resistance should be accounted for as well when we are working with a golf ball on a carpet which is approximately traveling with an initial velocity of 6.5 m/s?

Homework Helper
Gold Member
2022 Award
When I have a constant acceleration I should be able to calculate the distance... But how could you calculate the deceleration?
Rolling resistance is quite complicated. In any case, you are probably going to have to measure things if you want an accurate estimate.
And maybe another question: Do you think that air resistance should be accounted for as well when we are working with a golf ball on a carpet which is approximately traveling with an initial velocity of 6.5 m/s?
Probably. But, it would take a bit of work to distinguish the effects of air resistance from rolling resistance. What you will measure directly is a deceleration that involves them both.

• Volt582
Volt582
Rolling resistance is quite complicated. In any case, you are probably going to have to measure things if you want an accurate estimate.

Probably. But, it would take a bit of work to distinguish the effects of air resistance from rolling resistance. What you will measure directly is a deceleration that involves them both.
mhh ok... Then we will have to perform some more tests. Thanks anyway!