35C Newton s law of gravitational attraction states that if two bodies are at a distance of r apart then the force F exerted by

Question

35C Newton s law of gravitational attraction states that if two bodies are at a distance of r apart then the force F exerted by one body on the other is given by F r continue k 1 where k is a positive constant Suppose that as a function of time the distance between the two bodies is given by r t 49t 4 91 a Find the rate of change of F with respect to t For t 0 t 10 For x F r t r t r t 49t 4 91 F r kr b Show that For 3 For 7 r t 49 9 8t F r 2kr 2k

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