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.