# Standing On The Shoulders Of Giants - Time Taken To Fall

Calculus Level 2

By recreating Galileo's famous Leaning Tower of Pisa experiment, we obtained the following table of data which indicates the vertical height $$h$$ that the cannonballs dropped $$t$$ seconds after being released till it hits the ground and comes to rest.

 time $$t$$ 0 1 2 3 4 5 height $$h$$ 0 5 19 44 56 56

Which of the following is the best approximation for the time taken for the cannonballs to reach the ground?

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