Download Applied Calculus by D. J. Bell and F. H. George (Auth.) PDF

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

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Acceleration is another vector quantity. It is a measure of the rate at which the velocity changes. e. if the change in velocity is proportional to the time then the acceleration is said to be constant, or uniform. If the velocity of a particle moving in a straight line increases linearly with time, is the acceleration uniform? 37 No. 33 Yes. 49 from 33 Your answer was 2000 ft/sec. This was a wrong answer. Probably your answer stems from the fact that you have integrated the expression for s instead of differentiating.

It lies in the plane of the paper. The angular velocity of P about O is defined as the rate at which the angle AOP increases. Copy the above diagram onto a sheet of paper because you will need to refer to it again later. What is the angular velocity of a point which moves along the straight line ΟΑΊ 70 Zero. 82 Non-zero.

Turn back to 58 68 from 56 The answers to the three examples are as follows : (1) 500/3 units. (2) 4/3 units. (3) 1 unit. Turn to 69 69 CHAPTER TWO Motion with Uniform Acceleration. Angular Velocity. Mean Values. Areas and Volumes from 68 BEFORE we attempt more difficult examples on areas there are one or two more things which should be said about velocity and acceleration. In particular it will be instructive to use the notation of the calculus to derive the equations of motion for a particle moving in a straight line with uniform acceleration.

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