The position-time graph's slope reveals a constant velocity of -5 m/s, indicating motion opposite to the positive y-axis. The speed-time graph, derived from the absolute value of velocity, shows a constant speed of 5 m/s. Here option B is correct.
The position-time graph shows a constant velocity, which means the speed-time graph would be a horizontal line with a non-zero value. The slope of the position-time graph is equal to the velocity of the object. In this case, the slope is:
Slope = (Change in y) / (Change in x) = (0 - 25) / (5 - 0) = -5
This means the object is moving with a constant velocity of -5 m/s. The negative sign indicates the direction of the motion, which is opposite to the positive y-axis.
The speed-time graph is a graph of the absolute value of the velocity vs. time. Since the velocity is constant, the speed-time graph would be a horizontal line with a value of:
Speed = |Velocity| = |-5| = 5
This indicates a constant speed of 5 m/s. Here option B is correct.
Complete question:
A position-time graph is shown below. a position versus time graph showing a diagonal line from points 0, 25 and 5, 0 Which of the following describes the speed-time graph for the position of the object?
A - A zero horizontal line
B - A non-zero horizontal line
C - An increasing diagonal line
D - A decreasing diagonal line