Question

from which graph below would you conclude that velocity decreases directly with time?
four graphs labeled w, x, y, z:
w: velocity vs. time graph with a line starting at origin and increasing.
x: velocity vs. time graph with a line starting at top and decreasing to zero.
y: velocity vs. time graph with a vertical line (constant time, varying velocity).
z: velocity vs. time graph with a horizontal line (constant velocity over time).
options:
a. z
b. y
c. x

Explanation:

To determine which graph shows velocity decreasing directly with time, we analyze each graph:

• Graph W: Velocity increases as time increases (positive slope), so velocity is increasing with time.
• Graph X: Velocity decreases as time increases (negative slope), showing a direct decrease of velocity with time.
• Graph Y: Velocity is constant at a specific time (vertical line), not a change with time.
• Graph Z: Velocity is constant over time (horizontal line), no change with time.

So the graph where velocity decreases directly with time is X.

Answer:

C. X