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Related RatesSpeed of moving particle The coordinates of a
Chapter 3, Problem 147PE(choose chapter or problem)
Problem 147PE
Related Rates
Speed of moving particle The coordinates of a particle moving in the metric xy-plane are differentiable functions of time t with dx/dt = 10 m/sec and dy/dt = 5 m/sec. How fast is the particle moving away from the origin as it passes through the point (3,–4)
Questions & Answers
QUESTION:
Problem 147PE
Related Rates
Speed of moving particle The coordinates of a particle moving in the metric xy-plane are differentiable functions of time t with dx/dt = 10 m/sec and dy/dt = 5 m/sec. How fast is the particle moving away from the origin as it passes through the point (3,–4)
ANSWER:
Solution:
Step 1 of 3:
In this problem, we have to find the speed of moving particle away from the origin as it passes through the point (3,–4)
The differentiable function of time t with dx/dt = 10 m/sec and dy/dt = 5 m/sec