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**Unformatted text preview: **4. (6) At time t ≥ 0, the velocity of a particle moving along a straight line is v ( t ) = t 2-4 t + 3. (a) Find the particle’s acceleration each time the velocity is zero. (b) When is the particle moving forward? (c) When is the particle’s velocity decreasing? Section 3.9: Related Rates 5. (7 pts) If a snowball melts so that its surface area decreases at a rate of 1 cm 2 /min, ﬁnd the rate at which the diameter decreases when the diameter is 10 cm. 6. (8 pts) Water runs into a conical tank at the rate of 9 ft 3 /min. The tank stands point down and has a height of 10 ft and a base radius of 5 ft. How fast is the water level rising when the water is 6 ft deep?...

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