A roofer, Anita Shin-Gulls, is re-shingling a house in Richmond Hill. The roof is 1500 cm above the ground. After t seconds, Anita drops a shingle which has fallen a distance of s centimeters represented by s(t) = 1500 − 45t^2, 0 < t < 4. a. Calculate the average velocity when 0 < t < 4 b. Calculate the time at which the shingle is travelling at -180 cm/s.

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