motion-in-a-plane physics of class 11 motion
- 1. Motion in a plane
- 2. Position and Displacement Vectors
- 3. Free and localized vectors
- 5. Unit Vectors
- 6. Addition and subtraction of vectors
- 8. Analytical solution of vector addition
- 9. Special cases of addition of two vectors
- 11. Addition and subtraction of vectors considering unit vectors
- 12. Law of Cosines and sines 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
- 21. Motion in a plane with constant acceleration
- 22. Relative motion in two dimensions
- 25. Equation of trajectory of inclined projectile
- 26. Time of flight, Horizontal Range and Maximum height of an inclined projectile
- 32. Time of flight of horizontal projectile
- 33. Horizontal Range
- 37. 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.
- 38. A particle moves such that x = (18.0)t and y = 4t - 4.90t2 (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.
- 39. 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?
- 40. 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
- 41. 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
- 42. Two spheres of 1 kg and 10 kg are dropped simultaneously from the same height . which sphere will reach the ground first? • Solve it?
- 43. 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
- 44. 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/s2
- 45. 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°
- 46. 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?
- 47. Assignments
- 48. Assignments