Question

select the correct answer. which pair of sentences is describing the same velocity? a. a car is parked. a car is moving in circles. b. a bus drives 40 miles per hour north. a truck drives 50 miles per hour north. c. a boy walks east at 6 kilometers per hour. a girl walks west at the same speed as the boy. d. valerie rides her bike south at 8 kilometers per hour. owen jogs south at 8 kilometers per hour.

Explanation:

Velocity is a vector quantity, which means it has both magnitude (speed) and direction.

• In option A, one car is parked (velocity = 0) and the other is moving in circles (direction is constantly changing), so they don't have the same velocity.
• In option B, the bus has a speed of 40 miles per hour and the truck has a speed of 50 miles per hour. Since their magnitudes (speeds) are different, their velocities are not the same.
• In option C, the boy walks east and the girl walks west. Their directions are opposite, so their velocities are not the same.
• In option D, both Valerie and Owen have a speed of 8 kilometers per hour and their direction is south. Since both magnitude (speed = 8 km/h) and direction (south) are the same, they have the same velocity.

Answer:

D. Valerie rides her bike south at 8 kilometers per hour. Owen jogs south at 8 kilometers per hour.