Calculating the Vertical Acceleration of a Skier

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SUMMARY

The vertical component of a skier's acceleration down a 30.0-degree hill, given an acceleration of 3.10 m/s², is calculated using the sine function. The correct calculation is 3.10 m/s² * sin(30°), resulting in a vertical acceleration of 1.55 m/s² downward. The negative sign used in the initial calculation was incorrect because the problem defined downward as the positive direction. Therefore, the skier's vertical acceleration should be reported as 1.55 m/s² without a negative sign.

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a skier is accelerating down a 30.0 degrees hill at 3.10 m/s^2. What is the vertical component of her acceleration?

I did 3.10 m/s^2 *sin(30) and got -1.55 m/s^2, but as usual, my answer is wrong... :cry: The box for the answer looks like this: ____m/s2 (downward)... am I wrong because I put in the negative sign?
 
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>> ... am I wrong because I put in the negative sign?

yes
 
To expound a little. Yes because the question defined (+) to be downward when it said "accelerating down a 30.0 degrees hill at 3.10 m/s^2". By making your answer (-) you are sying the skier is accelerating in the direction opposite to the defined positive direction--the skier is accelerating upward.
 

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