Question

a motorcycle travels at a constant speed of 8.9 meters per second around a track. the dotted line shows the path of the motorcycle. the arrow shows the direction of the motorcycle at position 1. which comparison of the motorcycles motion is correct? 1 and 3, the velocities are the same, but the speeds are different. 1 and 4, the speeds are the same, but the velocities are different. 2 and 3, the velocities are the same, but the speeds are different.

Explanation:

Step1: Recall speed and velocity definitions

Speed is a scalar quantity (magnitude only), velocity is a vector quantity (magnitude and direction).

Step2: Analyze the motorcycle's motion

The motorcycle travels at a constant speed of 8.9 m/s around the track. At different positions (1, 2, 3, 4), the magnitude of the speed remains the same. But the direction of motion changes at different points on the curved - track. Since velocity depends on direction, the velocities at different positions are different while the speeds are the same.

Answer:

1 and 4, the speeds are the same, but the velocities are different.