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Speed of moving particle The coordinates of a particle

Problem 147PE Chapter 3.PE

University Calculus Early Transcendentals | 2nd Edition

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University Calculus Early Transcendentals | 2nd Edition

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Problem 147PE

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)?

Step-by-Step Solution:

SOLUTION: Step 1 of 4: A particle moves in the plane. It is given that the coordinates and are differentiable functions of time. and . Find how fast is the particle moving away from the origin as it passes through the point . Step 2 of 4: Distance of the particle with coordinates from the origin is ...........................(1)

Step 3 of 4

Step 4 of 4

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