Related Rate Problems and solutions
The study of rates of change is called calculus. Related rates of issues in which rates of change are related by means of differentiation (The process of finding a derivative). Standard example issues include water dripping from a cone - shaped tank and a man’s shadow lengthening as he walks away from a street lamp. Calculus related rates issues are used to finding the rates of the changes of the two variables respect to time.
Related Rates Problems and Solutions
Example: A boy and a girl start from the same point. The boy walks S70o E at 2.6 m/sec. The girl walks south at 3.2 m/sec. At what rate is the distance between the and boy changing after 45 minutes? Do u need help with formation distance
Solution:
Let x = The boy traveled distance, y = The girl traveled distance, and z = distance between the boy and the girl.
Speed of the girl, (dx/dt) = 2.6 m/sec and the speed of the girl, (dy/dt) = 3.2 m/sec. The rate of difference of the distance between the girl and boy is (dz/dt) after 45 minutes have passed. After t seconds, the distance boy has covered is 2.6t while the girl’s distance is 3.2t. So after 2700 seconds or 45 minutes , the boy’s distance is x = 2.6(2700) = 7020m and the girl’s distance y = 3.2(2700) = 8640m.
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