Zeno’s paradox

The video animates Zeno's paradox of Achilles and the Tortoise. With initial speeds set as $v_A = 2$ for Achilles and $v_T = 1$ for the tortoise, it shows how Achilles must repeatedly cover progressively halving distances ($s_1=2, s_2=1, s_3=1/2...$) and times ($t_1=1, t_2=1/2, t_3=1/4...$). It concludes by expressing the total distance and time as infinite geometric series.

Before you watch

• Geometric Progressions
• Concept of Limits