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2 - 2.4 Constant Acceleration Objects falling under the...

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2.4. Constant Acceleration Objects falling under the influence of gravity are one example of objects moving with constant acceleration. A constant acceleration means that the acceleration does not depend on time: Integrating this equation, the velocity of the object can be obtained: where v 0 is the velocity of the object at time t = 0. From the velocity, the position of the object as function of time can be calculated: where x 0 is the position of the object at time t = 0. Note 1 : verify these relations by integrating the formulas for the position and the velocity. Note 2 : the equations of motion are the basis for most problems (see sample problem 7). Sample Problem 2-8 Spotting a police car, you brake a Porsche from 75 km/h to 45 km/h over a distance of 88m. a) What is the acceleration, assumed to be constant ? b) What is the elapsed time ? c) If you continue to slow down with the acceleration calculated in (a) above, how much time would elapse in bringing the car to rest from 75 km/h ? d) In (c) above, what distance would be covered
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