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Average speed formula v avg = ½ (v f +v i )

Average speed formula v avg = ½ (v f +v i ). How and when to use the Kinematic Equations. v = v 0 + at v 2 = v 0 2 + 2ad x = v 0 t + ½ at 2 x = ½ (v + v 0 ) t. The acceleration must be constant Draw a diagram if not given List all the givens and what to find

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Average speed formula v avg = ½ (v f +v i )

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  1. Average speed formula • v avg = ½ (vf+vi)

  2. How and when to use the Kinematic Equations v = v0 + at v2 = v02 + 2ad x = v0 t + ½ at2 x = ½ (v+ v0) t • The acceleration must be constant • Draw a diagram if not given • List all the givens and what to find • Select the equation • Plug in givens into correct equation with units substituted • Solve with correct units

  3. Applying the kinematic Equations • Draw a diagram • Choose an appropriate origin • Write down the values of the variables • Apply the appropriate equations • Insert quantities in equations with units • Solve for answer with units

  4. The speedboat in the drawing has a constant acceleration of +2.0 m/s2. If the initial velocity of the boat is +6.0 m/s, find its displacement after 8.0 s.

  5. Example 1 Sam approaches a stoplight in her car moving with a velocity of +30.0 m/s. The light turns yellow, Sam applies the brakes and skids to a stop. If Sam’s acceleration is –8.00 m/s2, determine the displacement of the car during the skidding process. Given:vi = +30.0 m/s vf = 0 m/s a = –8.00 m/s2 Find: d

  6. Example 2 Mike is waiting at a stoplight in his car. When the light turns green, Mike accelerates from rest at a rate of 6.00 m/s2 for an interval of 4.10 seconds. Determine the displacement of the car during this time period. Given: vi = 0 m/s t = 4.10 s a = 6.00 m/s2 Find: d

  7. Example 3 A plane having an initial velocity of 100 ms-1 covers a displacement of 725 m in 10 s. Find its final velocity. Given: vi = 100 m/s t = 10 s d = 725m • Example 4 • A dog drops his bone and starts from rest then moves in a • straight line with constant acceleration and covers a distance • of 64 m in 4 s. • What is his acceleration? • What is his final velocity? Given: vi = 0 m/s t = 4 s d = 64 m

  8. Example 5 A truck is initially traveling at 10 m/s and takes 12 meters to stop. If the initial velocity is twice as fast what will be the breaking distance? Given: vi = 10 m/s d = 12 m vf = 0 Given: vi = 20 m/s d = ? vf = 0

  9. Example 6 • A rhinoceros charges from rest and accelerates at 1 m/s2. After 4 • seconds what is: • Its velocity • Its displacement Given: vi = 0 m/s t = 4 s a = 1 m/s2

  10. Example 7 A train starts from rest at a station and accelerates at 2 m/s2 for 10 s. It then runs at constant speed for 30 s, and then slowsdown at -4 m/s2 until it stops at the next station. What is the distance between the two stations?

  11. Kinematic Equations - Summary

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