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QuestionCalculate Michael Phelps' resultant velocity swimming North at 14 m/s14 \mathrm{~m/s} against a 5 m/s5 \mathrm{~m/s} South current.

Studdy Solution

STEP 1

Assumptions1. Michael Phelps is swimming North at a speed of 14 m/s14 \mathrm{~m/s} . The river current is flowing South at a speed of 5 m/s5 \mathrm{~m/s}
3. We assume North as positive direction and South as negative direction for calculation4. The resultant velocity is the vector sum of Michael's swimming speed and the river's current speed

STEP 2

First, we need to find the resultant velocity. We can do this by subtracting the speed of the river current from Michael's swimming speed, since they are in opposite directions.
Resultant velocity=Michael′s swimming speed−River′s current speedResultant\, velocity = Michael's\, swimming\, speed - River's\, current\, speed

STEP 3

Now, plug in the given values for Michael's swimming speed and the river's current speed to calculate the resultant velocity.
Resultant velocity=14 m/s−5 m/sResultant\, velocity =14 \mathrm{~m/s} -5 \mathrm{~m/s}

STEP 4

Calculate the resultant velocity.
Resultant velocity=14 m/s− m/s=9 m/sResultant\, velocity =14 \mathrm{~m/s} - \mathrm{~m/s} =9 \mathrm{~m/s}Michael's resultant velocity is 9 m/s9 \mathrm{~m/s} North.

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