Problem: A ball dropped off of a tall tower will reach its terminal speed (vterm):Answera. if it falls long enough for its speed to increase sufficiently such that the drag force (D) from air resistance becomes equal to the weight of the ball.b. never - it is impossible for a falling ball to ever reach terminal velocity.c. as soon as it released and starts to fall.d. after the ball has fallen a short distance, and the drag force (D) from air resistance starts to act on the ball.

FREE Expert Solution

We are required to apply our knowledge of forces, velocity, and acceleration.

Newton's second law:

$\overline{){\mathbf{\Sigma }}{\mathbf{F}}{\mathbf{=}}{\mathbf{m}}{\mathbf{a}}}$

Acceleration:

$\overline{){\mathbf{a}}{\mathbf{=}}\frac{\mathbf{∆}\mathbf{V}}{\mathbf{∆}\mathbf{t}}}$

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Problem Details

A ball dropped off of a tall tower will reach its terminal speed (vterm):