1. happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com

2. Ch 3 Motion in two or three dimensions © 2005 Pearson Education

3. 3.1 Position and Velocity Vectors Position Vector © 2005 Pearson Education

4. Average velocity vector © 2005 Pearson Education

5. Instantaneous velocity © 2005 Pearson Education

6. Components of instantaneous velocity © 2005 Pearson Education

7. 3.2 The Acceleration Vector Average acceleration vector Instantaneous acceleration vector © 2005 Pearson Education

8. Components of instantaneous acceleration © 2005 Pearson Education

9. Parallel and perpendicular components of Acceleration © 2005 Pearson Education

10. Magnitude of v increase Direction not change Direction change Magnitude constant © 2005 Pearson Education

11. Constant speed Increasing speedDecreasing speed © 2005 Pearson Education

12. Example 3.4 Find the parallel and perpendicular components of the acceleration at t=2.0s ANS: © 2005 Pearson Education

13. 3.3 Projectile Motion A projectile is any body that is given an initial velocity and then follows a path determined entirely by the effects of gravitational acceleration and air resistance © 2005 Pearson Education

15. Example 3.6 What her acceleration at point G,H and I after she flies off the ramp? Neglect air resistance ANS: © 2005 Pearson Education

16. Motion in a Circle When a particle moves in a circle with constant speed, the motion is called uniform circular motion When a particle moves in a circle with constant speed, the motion is called uniform circular motion © 2005 Pearson Education

17. Uniform Circular Motion © 2005 Pearson Education

18. Non-Uniform Circular Motion © 2005 Pearson Education

19. 3.5 Relative velocity in two dimensions Velocity of point P relative to frame of reference A Velocity of point P relative to frame of reference B Velocity of B relative to A © 2005 Pearson Education

20. Relative velocity in three dimensions © 2005 Pearson Education

21. Example 3.15 The compass of an airplane indicates that it is headed due north, and its airspeed indicators shows that it is moving through the air at 240km/h. If there is a wind of 100km/h from west to east, what is the velocity of the airplane relative to the earth? ANS: © 2005 Pearson Education

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