Find Distance for Constant Speed, Constant Acceleration, and Constant Jerk
Calculus 2, Class 2, Part 1. Find the distance traveled for various speeds: 1) v = constant = 3, 2) v = f(t) = 2t, 3) v = f(t) = t^2. For (3), also numerically approximate the integral (area under the curve) with a left-hand Riemann sum. https://amzn.to/3ucUVu3 (Infinite Powers: How Calculus Reveals the Secrets of the Universe)
These examples illustrate the Fundamental Theorem of Calculus
#calculus #physics
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(0:00) Constant speed example
(20:07) Constant acceleration example
(29:22) Constant jerk example
(37:37) Approximate an integral by counting squares
(41:39) Approximate an integral with a left-hand Riemann sum
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