Areas and Distance

# Areas and Distance - following times. 11. 2 t 12. 16 t 13....

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Name _____________________________ Date _____________________________ Period _____________________________ Calculus B The graph of a function f consists of a semicircle and two line segments as shown below. Let h be the function given by = x 0 dt ) t ( f ) x ( h . Compute the following values. 1. ) 0 ( h 2. ) 3 ( h 3. ) 6 ( h 4. ( 29 10 h 5. ) 3 ( h - Hint: Change your limits. The graph of the function f , consisting of three line segments is shown below. Let g be the function given by = x 1 dt ) t ( f ) x ( g . Compute the following values. 6. ( 29 4 g 7. ) 2 ( g - 8. ( 29 2 g 9. ) 3 ( g 10. ) 1 ( g -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 x -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 y f 1 x 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 x -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 y f 1 x 1

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A car begins to travel on a straight road at time t = 0. For 18 t 0 seconds, the car’s velocity v(t), in ft/s, is a piecewise linear function defined by the graph below. Compute the total distance traveled by the car given the
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Unformatted text preview: following times. 11. 2 t 12. 16 t 13. 16 t 6 14. 18 t 6 15. 18 t A rabbit begins to hop on a straight road at time t = 0. For 5 t seconds, the rabbits velocity v(t), in m/s, is a piecewise linear function defined by the graph below. Compute the total distance traveled by the rabbit given the following times. 16. 1 t 17. 2 t 18. 5 t 19. 3 t 2 20. 4 t 1 2 4 6 8 10 12 14 16 18 20 t-20-15-10-5 5 10 15 20 v 1 2 3 4 5 6 t-4-3-2-1 1 2 3 4 v Answers 1. 2. 4 9 -3. 4 9 2 9 -4. 4 9 2 33 -5. 4 9 6. 2 5 7. 6-8. 2 5 9. 3 10. 0 11. ft 30 12. ft 165 13. ft 105 14. ft 120 15. ft 180 16. m 2 17. m 3 18. m 2 11 19. m 2 1 20. m 2 5...
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## Areas and Distance - following times. 11. 2 t 12. 16 t 13....

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