A 1400-kg automobile starts from rest and travels 400 m during a performance test. The motion of the automobile is defined by the relation x = 4000ln(cosh 0.03t) where x and t are expressed in meters and seconds, respectively. The magnitude of the aerodynamic drag is D = 0.35v2, where D and v are expressed in newtons and m/s, respectively.

Determine the power dissipated by the aerodynamic drag when
(a) t = 10 s
(b) t = 15 s

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D