Question

The position vs. time graph to the right represents the position of an object moving in a straight line. What is the velocity of the object during the time interval t = 4 seconds to t = 6 seconds?

A) 0 m/s
B) 0.2 m/s
C) 5 m/s
D) 7.5 m/s

Answer 1

The velocity of the object from t = 4s to t = 6s is given by the constant slope of the position vs. time graph in that interval. Without the graph's numeric details, we cannot determine the exact velocity, but can confirm the object is moving and has a non-zero, constant velocity.

Step-by-step explanation:

To determine the velocity of the object during the time interval t = 4 seconds to t = 6 seconds, we should analyze the slope of the position vs. time graph during this interval. Since the position is increasing at a constant rate during these 2 seconds, the object's velocity is constant. Moreover, since the graph has a constant gradient, we know that the object has a steady velocity, which is neither accelerating nor decelerating in this interval. To find the numerical value of the velocity, we would normally use the rise over run method from the graph. Without the actual graph provided, we cannot calculate the specific value, but we can exclude option A (0 m/s) because the object is moving, and we can imply that the gradient is constant and not zero.