In this problem, we're told that the drag force is proportional to v^{2}.

Consider a proportionality constant, k for the drag force.

A baseball is thrown straight up. The drag force is proportional to v^{2}.

In terms of g, what is the y-component of the ball's acceleration when its speed is half its terminal speed and it is moving up? Express your solution with three significant digits, and +y direction is upwards. Omit the unit (m/s^{2}).

In terms of g, what is the y-component of the ball's acceleration when its speed is half its terminal speed and it is moving back down? Express your solution with three significant digits, and +y direction is upwards. Omit the unit (m/s^{2}).

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Dynamics with Resistive Forces concept. If you need more Dynamics with Resistive Forces practice, you can also practice Dynamics with Resistive Forces practice problems.