Chapter 3 motion in plane class 11 CBSE.

Motion derivation
Notes
Definition
Every thing

1. Motion in a plane

2. Position and Displacement Vectors

3. Free and localized vectors

4. Equality of vectors

5. Unit Vectors

6. Addition and subtraction of vectors

7. Vector Parallelogram Method

8. Analytical solution of vector addition

9. Special cases of addition of two vectors

10. Resolution of Vectors

11. Addition and subtraction of vectors considering unit vectors

12. Law of Cosines and sines of vectors

13. Multiplications of vectors

14. Scalar product

15. Properties of scalar product

16. Vector Product

17. Vector Product in terms of rectangular unit vectors

18. Some properties of unit vectors

19. Quantities related to motion of an object in a plane

20. Motion in a plane with constant acceleration

21. Relative motion in two dimensions

22. Projectile motion

23. Projectile motion

24. Equation of trajectory of inclined projectile

25. Time of flight, Horizontal Range and Maximum height of an inclined projectile

26. Horizontal Projectile

27. Trajectory of projectile

28. Trajectory of projectile

29. Velocity of projectile

30. Time of flight of horizontal projectile

31. Horizontal Range

32. Uniform Circular Motion

33. Uniform Circular Motion

34. A stone is thrown from ground level over horizontal ground. It just clears three walls, the successive distances between them being r and 2r. The inner wall is 15/7 times as high as the outer walls which are equal in height. The total horizontal range is nr, where n is an integer. Find n.

35. A particle moves such that x = (18.0)t and y = 4t - 4.90t 2 (a) Write a vector expression for the particle position as a function of time, using the unit vectors i   and  j (b) Obtain the expression for the velocity vector as a function of time (c) Obtain the expression for the acceleration vector  a  as a function of time. (d) Find the the position, the velocity, and the acceleration of the particle at t = 1.00 s.

36. A ball is thrown from a roof top at an angle of 30° above the horizontal. It hits the ground a few seconds later. At what point during its motion, does the ball have (a) greatest speed. (b) smallest speed. (c) greatest acceleration?

37. A football is kicked into the air vertically upwards. What is its (a) acceleration at the highest point (b) velocity at the highest point? Solution: At highest point, velocity becomes zero and acceleration remains same as acceleration due to gravity

38. What will the effect on horizontal range of a projectile when its initial velocity is doubled keeping the angle of projection same? See the mathematical equation

39. Two spheres of 1 kg and 10 kg are dropped simultaneously from the same height . which sphere will reach the ground first? Solve it?

40. a. Can a scalar quantity be added to vector quantity b. Can the product of scalar quantity and vector quantity possible c. Is the magnitude and direction same for  A  +  B  and  B  +  A d. Is the magnitude and direction same for  A  -  B  and  B  -  A a. No b. Yes c. Yes d. False. Magnitude is same but direction is opposite

41. A bullet is fired from a gun at a speed of 5000 m/s. At what height should the gun be aimed above a goal if it has to strike the goal at a distance of 500 m? Take g=10m/s 2

42. Suppose you have two force  F  and  F . How would you combine them in order to have a resultant force of magnitude a. zero b. 2 | F | c. | F | a. Anti-parallel b. Parallel c. both at an angle of 120°

43. A person sees a bird on a tree 39.6 m high and at a distance of 59.2 m. With what velocity the person should throw an arrow at an angle of 45° so that it may hit the bird? Solve it?

44. Assignments

45. Assignments