Calculus AB Independent Study Finding Rates of Changes Study Sheet 4. A man 2 meters tall walks at the rate of 2 meters per second toward a streetlight that's 5 meters above the ground. At what rate is the tip of his shadow moving? A. What rate is given in the problem? Your answer must include a description in words (rate of change of with respect to time_), the number and units, mathematical symbols for the rate, and definitions of the letters you've chosen for your variables. the distance between the man and the streetlight B. What rate is asked for? Your answer must include a description in words (rate of change of with respect to time ), the units, mathematical symbols for the rate, and definitions of the letters you've chosen for your variables. the distance between the tip of the shadow and the streetlight 5. Two cars are both .2 miles away from an intersection. Car A is traveling at 40 mph due east, toward the intersection. Car B is traveling at 30 mph due north, away from the intersection. At that moment, are the cars getting further apart or closer together? A. What rates are given in the problem? For each of the rates, your answer must include a description in words (rate of change of with respect to time ), the number and units, mathematical symbols for the rate, and definitions of the letters you've chosen for your variables. the distance between car A and the intersection B. What rate is asked for? (Think carefully here. ) Your answer must include a description in words (rate of change of with respect to time ), the units, mathematical symbols for the rate, and definitions of the letters you've chosen for your variables. the distance between the cars