Question

1. a student graphs the position of an object moving east - west during a 40 - minute interval. which statement correctly compares the velocity and speed of the object between 0 and 40 minutes? the object had an average speed of 0.1 km/min. the object had a velocity of 0.1 km/min east. the object had an average speed of 0.1 km/min. the object had a velocity of - 0.1 km/min east. the object had an average speed of 0.1 km/min. the object had a velocity of 0.1 km/min. the object had an average speed of 10 km/min. the object had a velocity of 10 km/min east. clear all

Explanation:

Step1: Recall speed and velocity definitions

Speed is total distance over total time. Velocity is displacement over time and has direction.

Step2: Calculate average speed

From the graph, the object moves from 0 km to 4 km in 40 minutes. Average speed $v_{avg - speed}=\frac{\text{total distance}}{\text{total time}}=\frac{4 - 0}{40}=0.1$ km/min.

Step3: Calculate average velocity

The object moves east - ward. Displacement is also 4 km in the east - ward direction in 40 minutes. Average velocity $v_{avg - velocity}=\frac{\text{displacement}}{\text{total time}}=\frac{4 - 0}{40}=0.1$ km/min east.

Answer:

The object had an average speed of 0.1 km/min. The object had a velocity of 0.1 km/min east.