# Chap2 - 8 Strategy Let the x-direction be to the right...

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8. Strategy Let the + x -direction be to the right. Solution Draw vector diagrams; then find the magnitudes and directions of the vectors. (a) A B A + B (1.73 1.00) units in the -direction 0.73 units in the -direction x x + = + = + A B r r (b) A B A - B - (1.73 1.00) units in the -direction 2.73 units in the -direction x x = + + = + A B r r (c) A B B - A - (1.00 1.73) units in the -direction 2.73 units in the -direction x x = + = B A r r 14. Strategy Use the graph to answer the questions. The slope of the graph at any instant represents the speed at that instant. Solution (a) The section of the graph with the largest magnitude (steepest) slope represents the highest speed, DE. (b) The slope changes from positive to negative at D, and from negative to positive at E, so the object reverses its direction of motion at times 4 s and 5 s. (c) During the time interval t = 0 s to t = 2 s, the speed of the object is av 20 m 0 10 m s, 2 s v v = = = and from t = 2 s to t = 3 s it is av 20 m 20 m 0. 3 s 2 s v v = = = Therefore, the distance traveled is (10 m s)(2 s) 20 m . = 16. Strategy Determine the maximum time allowed to complete the run.

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