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Understanding Free Fall: Calculating Velocity and Position Over Time

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Dive into the physics of free fall and learn how to calculate velocity and position at various time intervals. When an object is in free fall, its acceleration due to gravity is always directed downwards at 9.8 m/s². This guide walks you through the calculations at different seconds, starting from rest. It examines average velocities over intervals to find final velocities and positions after 1, 2, 3, and 4 seconds. Gain hands-on practice with examples and learn to solve for time and distance using fundamental principles of mechanics.

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Understanding Free Fall: Calculating Velocity and Position Over Time

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  1. y0 = 0 m a = +9.8 m/s2 Free fall acceleration is always down, if down is positive then so is acceleration, if up is positive, then acceleration is negative +y Find v and y at t = 1 s v0 = 0 m/s V= 9.8 m/s 5 m 10 m Coyote was not going 9.8 m/s during the entire first second, use average velocity 15 m 20 m 25 m 30 m 35 m 40 m 45 m

  2. y0 = 0 m a = 9.8 m/s2 Find v and y at t = 2 s v0 = 0 m/s +y V= 9.8 m/s 5 m 10 m 15 m V= 19.6 m/s 20 m 25 m 30 m Or: 35 m 40 m 45 m

  3. y0 = 0 m a = 9.8 m/s2 Find v and y at t = 3 s v0 = 0 m/s +y V= 9.8 m/s 5 m 10 m 15 m V= 19.6 m/s 20 m 25 m HELP! 30 m Or: 35 m 40 m V= 29.4 m/s = 66 mph! 45 m

  4. y0 = 0 m a = 9.8 m/s2 v0 = 0 m/s +y V= 9.8 m/s 5 m Can you find v and y at t = 4 s ? No Peeking, solve it yourself first! 10 m v = 39.2 m/s, y = 78.4 m 15 m Can you find t and y when v = 25 m/s? No Peeking, solve it yourself first! V= 19.6 m/s t = 2.55 s, y = 31.9 m 20 m Can you find t and v when y = 10 m? 25 m No Peeking, solve it yourself first! t = 1.43 s, v = 14 m/s 30 m Nice Job, take a break. 35 m 40 m V= 29.4 m/s 45 m

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