Question

which line shows both positive velocity and positive acceleration?
line c
line e
line d
line a
line b

Explanation:

Step1: Recall velocity - acceleration concepts

Velocity is slope of position - time graph, acceleration is rate of change of velocity. Positive velocity means positive slope, positive acceleration means slope is increasing.

Step2: Analyze each line

• Line A: Slope = 0, velocity = 0, acceleration = 0.
• Line B: Slope = 0, velocity = 0, acceleration = 0.
• Line C: Positive slope (positive velocity), and slope is increasing (positive acceleration).
• Line D: Negative slope (negative velocity), slope is constant (zero acceleration).
• Line E: Negative slope (negative velocity), slope is constant (zero acceleration).

Answer:

Line C