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Pre-Calc Homework Solutions 85

Pre-Calc Homework Solutions 85 - Section 3.4(c The speed...

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(c) The speed graph is obtained by reflecting the negative portion of the velocity graph, 2 , t , 7, about the x -axis. (d) For 0 # t , 1: a 5 } 3 1 2 2 0 0 } 5 3 m/sec 2 For 1 , t , 3: a 5 } 2 3 3 2 2 1 3 }52 3 m/sec 2 For 3 , t , 6: a 5 } 2 3 6 2 2 ( 2 3 3) }5 0 m/sec 2 For 6 , t , 8: a 5 } 3 8 2 2 ( 2 6 3) } 5 3 m/sec 2 For 8 , t # 10: a 5 } 1 0 0 2 2 3 8 }52 1.5 m/sec 2 24. (a) The particle is moving left when the graph of s has negative slope, for 2 , t , 3 and for 5 , t # 6. The particle is moving right when the graph of s has positive slope, for 0 # t , 1. The particle is standing still when the graph of s is horizontal, for 1 , t , 2 and for 3 , t , 5. (b) For 0 # t , 1: v 5 } 2 1 2 2 0 0 } 5 2 cm/sec Speed 5 ) v ) 5 2 cm/sec For 1 , t , 2: v 5 } 2 2 2 2 2 1 } 5 0 cm/sec Speed 5 ) v ) 5 0 cm/sec For 2 , t , 3: v 5 } 2 3 2 2 2 2 2 }52 4 cm/sec Speed 5 ) v ) 5 4 cm/sec For 3 , t , 5: v 5 } 2 2 5 2 2 ( 2 3 2) }5 0 cm/sec Speed 5 ) v ) 5 0 cm/sec For 5 , t # 6: v 5 } 2 4 6 2 2 ( 2 5 2) }52
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