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## Homework Statement

A 2kg ball is dropped from a height of 10m. Find its velocity when it reaches the ground. Define the positive direction on your motion diagram as going upwards (so as it head towards the ground, it is heading in the negative direction).

The problem itself was easy, but what our professor asked us that I am unsure about is where the negative sign is put into the equation to make the velocity a negative (based on the motion diagram).

## Homework Equations

PE

_{initial}= KE

_{final}

## The Attempt at a Solution

(2)(9.8)(10) = (1/2)(2)v

_{final}

^{2}

49 = v

_{final}

^{2}

v = 7m/s

Now, since the positive direction is supposed to be upwards, I am unsure as to what value should be made negative in the equation in order to make the 7m/s a negative value? Since g is causing a negative acceleration in regards to the motion diagram, I was tempted to make it a -9.8, but he told us last week that g is always positive regardless of direction.

I know in this problem it is easy to assess that v is negative based on the motion diagram, but he wanted us to think about this one because he said it will be important in more difficult problems later on.