Based on observations, the speed of a jogger can be approximated by the relation = 7.5(1 – 0.04x)…

Based on observations, the speed of a jogger can be approximated by the relation  = 7.5(1 – 0.04x) 0.3, where v and x are expressed in mi/h and miles, respectively. Knowing that x = 0 at t = 0, determine (a) the distance the jogger has run when t = 1 h, (b) the jogger’s acceleration in ft/s2 at t = 0, (c) the time required for the jogger to run 6 mi.

 

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