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Mastering Physics Formulas: Applying New Concepts

Explore how to utilize additional physics formulas effectively by practicing with familiar and new equations. Solve problems involving velocity, acceleration, and distance in various scenarios. Enhance your understanding of physics concepts through practical application.

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Mastering Physics Formulas: Applying New Concepts

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  1. Aim: How can we use additional physics formulas? Do Now: List the three physics formulas previously learned

  2. Physics Formulas Previously learned: New formulas: Or is it? These are new These are the same (t) (t)

  3. Problems • A ball, initially at rest, rolls with a constant acceleration of 2 m/s2. • What is the final velocity after rolling 10 m? • Given • vi = 0 m/s • a = 2 m/s2 • d = 10 m • vf = ? Choose an appropriate formula vf2 = (0 m/s)2 + 2(2 m/s2)(10 m) vf2 = 40 vf = 6.3 m/s

  4. b. How long did it take the ball to roll 10 m? 2 options: • Given • vi = 0 m/s • a = 2 m/s2 • d = 10 m • vf = 6.3 m/s • t = ? 6.3 m/s = 0 m/s + (2 m/s2)t 6.3 = 2t 2 2 t = 3.15 s or 10 m = (0 m/s)t + ½(2 m/s2)t2 10 = t2 t = 3.15 s

  5. 2. A runner, initially at rest, accelerates at a rate of 1.5 m/s2 for 100 m. a. How long did the race take? Given vi = 0 m/s a = 1.5 m/s2 d = 100 m t = ? 100 m = (0 m/s)t + ½(1.5 m/s2)t2 100 = 0.75t2 t = 11.5 s

  6. b. What was the runner’s final velocity? Given vi = 0 m/s a = 1.5 m/s2 d = 100 m t = 11.5 s vf = ? vf = 0 m/s + (1.5 m/s2)(11.5 s) vf = 17.3 m/s or vf2 = (0 m/s)2 + 2(1.5 m/s2)(100 m) vf2 = 300 vf = 17.3 m/s

  7. 3. An airplane approaches a runway with an initial velocity of 5 m/s. After accelerating at a rate of 8 m/s2 for 12 s, the plane takes off. a. What distance did the plane travel on the runway? Given vi = 5 m/s a = 8 m/s2 t = 12 s d = ? d = vit + ½at2 d = (5 m/s)(12 s) + ½(8 m/s2)(12 s)2 d = 60 + 576 d = 636 m

  8. b. What was the final velocity of the plane at takeoff? Given vi = 5 m/s a = 8 m/s2 t = 12 s d = 636 m vf = ? vf = 5 m/s + (8 m/s2)(12 s) vf = 101 m/s or vf2 = (5 m/s)2 + 2(8 m/s2)(636 m) vf2 = 10,201 vf = 101 m/s

  9. Pages 64-67

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