High School

A sedan, traveling west at 74.2 km/h, is being pursued by a police cruiser moving at 99.9 km/h.

(a) Find the velocity of the sedan (magnitude and direction) relative to the police cruiser.

Answer :

Final answer:

The velocity of the sedan relative to the police cruiser is 25.7 km/h west.

Explanation:

To find the velocity of the sedan relative to the police cruiser, we need to subtract the velocity of the police cruiser from the velocity of the sedan.

Given:

  • Sedan velocity: 74.2 km/h (west)
  • Police cruiser velocity: 99.9 km/h (west)

To subtract the velocities, we need to consider their directions. Since both the sedan and the police cruiser are moving west, we can subtract their magnitudes:

Relative velocity = Sedan velocity - Police cruiser velocity

Relative velocity = 74.2 km/h - 99.9 km/h

Relative velocity = -25.7 km/h

The magnitude of the relative velocity is 25.7 km/h, and the direction is west.

Learn more about relative velocity here:

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