To determine which graph corresponds to an object moving with a constant negative acceleration and a positive velocity, let's first understand the concepts involved:
Constant Negative Acceleration: This means the velocity of the object is decreasing over time.
Positive Velocity: This indicates that the object is moving in the positive direction (away from the origin).
In a velocity-time graph, the velocity is plotted on the vertical axis and time on the horizontal axis. A negative acceleration would result in a downward-sloping line since the velocity decreases with time. A positive velocity implies that the graph should start above the time-axis (i.e., in the positive vertical region).
Now, let's examine the provided options:
A graph that shows a straight line with a downward slope, starting from a positive value on the velocity axis, accurately depicts constant negative acceleration with a positive initial velocity.
Given this understanding, the correct graph is:
This graph correctly shows a linear decrease in velocity starting from a positive value, indicating a constant negative acceleration while maintaining a positive velocity.
