Answer the following with reference to comparing the motions of two bodies moving…

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

Answer the following with reference to comparing the motions of two bodies moving simultaneously in a straight line. (i) Define the term "relative velocity of body AA with respect to body BB." (ii) Two bodies AA and BB have velocities v⃗A\vec v_A and v⃗B\vec v_B with respect to the ground. Write the vector expression for the velocity of AA as seen by an observer on BB and explain the meaning of each symbol used. (iii) If v⃗A=5 i^+2 j^  m s−1\vec v_A = 5\,\hat i+2\,\hat j\;\text{m s}^{-1} and v⃗B=1 i^−3 j^  m s−1\vec v_B = 1\,\hat i-3\,\hat j\;\text{m s}^{-1}, interpret physically the sign of each component of v⃗A/B\vec v_{A/B} obtained from your expression in part (ii).

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