A 80.0 kg person initially at rest atop a skateboard ramp that is h = 1.5 m above its lowest position. At the bottom of the ramp, the skateboarder is traveling 4.0 m/s. To the nearest joule, how much thermal energy was produced as a result of friction between the skateboard and ramp when the person reaches the bottom of the ramp?

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see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

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