# Us to get a close estimate for the procedure see the

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us to get a close estimate. For the procedure, see the textbook. The smallest we make Δt, the closestour approximation will be to the real trajectory, but the more values we will need to compute.
4.A falling object.LetH(t) be the height of a ball above the groundtseconds after we let go of it.According to Galileo, if we ignore air resistance slowing the ball down, its height will be given by theformulaH(t) =H(0)-16t2whereH(0) is the initial height. Suppose we drop the ball from an initial height of 100ft.(a) Compute the average rate of change ofHbetweent= 1.6sandt= 1.7s.
(b) Find the instantaneous rate of change att= 1.6s.
5. The rate of change of the position of a car at some timet0is given bydXdt= 55. What does this meanin plain English?
6. If at some instant an object’s speed is 30mi/h, will it travel 30 miles in the next hour?
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