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By the end you can explain why an object moving against a resistive force reaches a terminal velocity, predict how mass and shape change it, and explain what happens when a parachute opens.
A raindrop that fell with no air would land at about . Every rain shower would be a hail of bullets.
Real big raindrops land at about , because they reach terminal velocity long before they hit you.
Terminal velocity isn't only about falling. It happens whenever a constant driving force is opposed by a resistive force that grows with speed:
In each case the object speeds up until the resistive force has grown enough to balance the driving force. Resultant force zero, acceleration zero, constant velocity: the top speed.
Worked example: Why cars have a top speed
A car of mass has a maximum driving force of . (a) At its top speed, what is the total resistive force? (b) At a lower speed, the total resistive force is . Find its acceleration with the maximum driving force.