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# written1 - Homework 1 Due 1 Suppose that C = A B and D = A...

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Homework 1 Due January 16 2007 1) Suppose that B A C G G G + = and B A D G G G = a. In general, show that B A C + with a geometric argument. b. Write an expression for B A G G in terms of A, B and C. c. Write an expression for B A G G in terms of 2 C and 2 D . d. If B A C = , what must be true about the relative orientation of these three vectors? Draw a sketch to illustrate your answer . In this case what is D (i.e. the magnitude of D G )? e. If C=A+B, what must be true about the relative orientation of these three vectors? Draw a sketch to illustrate your answer . 2) Consider the vectors shown in Figure 1-1. Plot them out on graph paper: a. Graphically determine the magnitude and direction of: Q P G G + b. Graphically determine the magnitude and direction of: Q P G G c. Determine the value of Q P G G . 3) If John walks east 3km at a speed of 4km/hr and then runs west at a speed of 12km/hr for 2hr, what is his average velocity? 4) A car is initially traveling at a speed of 30km/hr. After it accelerates at a constant rate and travels a distance of 20km down the road, it is moving at a speed of 50km/hr. a. What is the acceleration of the car? b. How long does it take to cover the 20km?

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written1 - Homework 1 Due 1 Suppose that C = A B and D = A...

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