Kinetic Friction of jet powered skiis

AI Thread Summary
Joe, with a mass of 80 kg, uses jet-powered skis that generate a thrust of 186 N and have a coefficient of kinetic friction of 0.1. To find Joe's top speed after 8 seconds, the acceleration is calculated considering the frictional force opposing the thrust. The resulting top speed is determined to be 10.76 m/s. After running out of fuel, Joe decelerates due to friction, and the distance traveled before coming to a stop can be calculated using his maximum speed. The discussion focuses on applying the correct equations to solve for both speed and distance.
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Homework Statement


Joe, whose mass is 80kg, takes off across level snow in his jet powered skiis. The skiis have a thrust of 186N and a coefficient of kinetic friction on snow of 0.1. Unfortunately, the skiis run out of fuel after only 8 s. What is Joe's top speed? How far has Joe traveled when he finally coasts to a stop?


Homework Equations





The Attempt at a Solution

 
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Please show some work.

Joe's mass (80 kg) is subjected to a force 186 N, but experiences a retarding (friction) force. The coefficient of friction is 0.1.

So determine the acceleration, from which speed can be determined at the end of 8 s.

Then with that speed, Joe decelerates with friction, so determine how far based on the maximum speed (magnitude of velocity) through the distance where he stops.

Refer to this - http://hyperphysics.phy-astr.gsu.edu/hbase/mot.html
 
I got his top speed to be 10.76 m/s by using the frictional force in the equation. I just don't know which equation to use from there.
 
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