Question

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

Explanation:

Step1: Recall speed and velocity definitions

Speed is a scalar (distance/time), velocity is a vector (displacement/time).

Step2: Determine distance and displacement

From the graph, the object moves from starting - point to end - point in 40 minutes. The distance traveled is 4 km (assuming the end - point is at 4 km on the distance axis). The displacement is also 4 km east (as it moves in one direction along the east - west axis).

Step3: Calculate average speed

Average speed = total distance / total time. Total distance = 4 km, total time = 40 minutes. So, average speed=$\frac{4}{40}=0.1$ km/min.

Step4: Calculate average velocity

Average velocity = total displacement / total time. Total displacement = 4 km east, total time = 40 minutes. So, average velocity = 0.1 km/min east.

Answer:

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