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By D. J. Bell and F. H. George (Auth.)

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Extra resources for Applied Calculus

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Y t D 0 A 34 Yes. 64 No. 43 I do not know. B 51 from 38 Your answer was — π. This was a wrong answer. ). Please return to the question and check your working. Turn back to 38 52 from 31 The answer you chose was 384 ft/sec. Good. You are quite correct. Having completed one or two examples in which the magnitude of the velocity is obtained by differentiating a distancetime equation, you are now better equipped to tackle the question which troubled you earlier. Let us, therefore, go back to that question, and no doubt you will be able to have a better shot at it.

Turn back to 31 42 from 33 Your answer was 120 ft/sec. This is perfectly correct. The magnitude of the velocity at time t is 12i ft/sec, which is 120 ft/sec when t = 10. When we are discussing motion in a straight line it is legitimate to use the word "velocity" to mean "magnitude of velocity" and the word "acceleration" to mean "magnitude of acceleration". There is no confusion caused by doing this for motion in a straight line since the direction of motion is constant. If a body is moving in a straight line with velocity v, the rate of change of velocity with respect to time is di;/di and this is the acceleration of the body.

Y t D 0 A 34 Yes. 64 No. 43 I do not know. B 51 from 38 Your answer was — π. This was a wrong answer. ). Please return to the question and check your working. Turn back to 38 52 from 31 The answer you chose was 384 ft/sec. Good. You are quite correct. Having completed one or two examples in which the magnitude of the velocity is obtained by differentiating a distancetime equation, you are now better equipped to tackle the question which troubled you earlier. Let us, therefore, go back to that question, and no doubt you will be able to have a better shot at it.

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