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18 votes
18 votes
Jacob is traveling down a level roadway with a speed of 9.5 m/s. He slams on the breaks and encounters a coefficient of friction of 0.847. What distance does his 985 kg truck skid before stopping?

User Stombeur
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2.6k points

1 Answer

18 votes
18 votes

To find the distance that Jacob's truck skids before coming to a stop, we can use the formula for the distance traveled while braking, which is:

distance = initial velocity^2 / (2 * coefficient of friction * acceleration due to gravity)

In this case, the initial velocity is 9.5 m/s, the coefficient of friction is 0.847, and the acceleration due to gravity is 9.8 m/s^2. Plugging these values into the formula, we get:

distance = (9.5 m/s)^2 / (2 * 0.847 * 9.8 m/s^2)

Solving for distance, we get:

distance = 8.76 meters

Therefore, Jacob's truck will skid a distance of 8.76 meters before coming to a stop.

User DavidT
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2.8k points
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