A particle moves according to a law of motion 5 = f(t), t 2 0, where t is measured in seconds and s in feet. f(t) = t3 15t2 + 7215 (a) Find the velocity at time t. v(t) = 3:2 30: + 72 J (b) What is the velocity after 5 5? ~45) . ms (c) When is the particle at rest? t = y 5 (smaller value) t = E y 5 (larger value) (d) When is the particle moving in the positive direction? (Enter your answer in interval notation.) X (e) Find the total distance traveled during the rst 8 s. :let Water is being pumped into an inverted conical tank at some constant rate. The tank has a height of 600 cm and the diameter of the tank across the top is 400 cm, If the water levei is rising at a rate of 20 cm/min when the height of the water is 200 cm, nd the rate at which water is being pumped into the tank. (Round your answer to the nearest integer.) i cm3/min