Science

PhysicsQ&A LibraryWater is poured into a container that has a leak. The mass m of the water is given as a function of time t by m = 4.9t0.8 - 2.6t + 18, with t ≥ 0, m in grams, and t in seconds. (a) At what time is the water mass greatest, and (b) what is that greatest mass? What is the rate of mass change at (c) t = 1.9 s and (d) t = 4.9 s?Question

Water is poured into a container that has a leak. The mass *m* of the water is given as a function of time *t* by *m* = 4.9*t*^{0.8} - 2.6*t* + 18, with *t* ≥ 0, *m* in grams, and *t* in seconds. **(a)** At what time is the water mass greatest, and **(b)** what is that greatest mass? What is the rate of mass change at **(c)** *t* = 1.9 s and **(d)** *t* = 4.9 s?

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