Standing On The Shoulders Of Giants - Average Velocity From 2 To 3 Seconds

Calculus Level 1

By dropping cannonballs off the top of the leaning tower of Pisa, Galileo demonstrated that the time taken for two balls of different masses to hit the ground is independent of its weight (if the amount of air resistance is similar). This experiment was repeated again in 2009, and you can watch Dan Falk's video of the event (skip to 2:00).

time \(t\)01234
height \(h\)05194456

Assuming that the above table indicates the vertical height \(h\) that the cannonballs dropped \(t\) seconds after being released till it hits the ground and comes to rest. What is the average velocity from the second second to the third second?

Image credit: Wikipedia Theresa Knott

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