HW02.pdf - PHYS1111A University Physics I PHYS 1111A Homework Assignment 2(Vectors Kinematics in 2D 3D(Due 12:15 pm Collection Box at SC213 TA Gu Qilao

# HW02.pdf - PHYS1111A University Physics I PHYS 1111A...

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PHYS1111A University Physics I PHYS 1111A Homework Assignment 2 (Vectors, Kinematics in 2D & 3D) (Due: 27/9/2019, 12:15 pm, Collection Box at SC213, TA: Gu Qilao ) Part A (reading) Read HRW (9 th edition): Chapter 3, Sections 7-8 (Vectors and the Law of Physics, Multiplying Vectors); Chapter 4, Sections 4.5-4-9 (Projectile Motion, Projectile Motion Analyzed, Uniform Circular Motion, Relative Motion in Two Dimensions) Part B (no need to submit) 1. An object is projected on a horizontal ground with initial velocity u at an angle to the horizontal. Show that the object reaches the maximum height at 2 2 2 sin cos sin , 2 u u x y g g 2. Given the two vectors ˆ ˆ ˆ 3 4 5 a i j k and ˆ ˆ 2 6 b i k   . Find (a) a b , (b) the angle between a and b , and (c) a b . 3. An object is located at position ˆ ˆ ˆ 2 3 4 R i j k   . Convert its position to (a) cylindrical coordinates , , , r z and (b) spherical coordinates , , . r   Give the angles in degrees.

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