Cole is riding a sled with initial speed of 5 m/s from west to east. the frictional force of 50 n exists due west. the mass of the sled and cole together is 100 kg. how far does the sled go before stopping? use the formula: a= (vf2-vi2)/2d regarding the relation among acceleration a, final velocity vf, initial velocity vi and the traveled distance of an object d.

We can calculate the acceleration of Cole due to friction using Newton's second law of motion:

where  is the frictional force (with a negative sign, since the force acts against the direction of motion) and m=100 kg is the mass of Cole and the sled. By rearranging the equation, we find


Now we can use the following formula to calculate the distance covered by Cole and the sled before stopping:

where
is the final speed of the sled
is the initial speed
is the distance covered

By rearranging the equation, we find d: