Can anyone show me how to do this physics problem?

Question

A baseball player slides into third base with an initial speed of 4 m/s. if the coefficient of kinetic friction between the player and the ground is .46, how far does the player slide before coming to rest?

Answer 1

Kinetic Friction creates a Force slowing the player down. Remember F=ma

The frictional force will be perpendicular to the normal force. The normal force is caused by gravity. So it can be written:

F(friction) = .46 F(gravity)= .46 mg

therefore the deceleration on the player will be

a = .46 g

Plug g in to get the acceleration, then use a=v/t and solve for v. If you don't get something just under 1 sec, check your numbers.