Question

The graph of velocity vs. time of a moving particle plotted at right. What is the acceleration and displacement of the particle at point A ?

• A. Acceleration decreasing, displacement decreasing
• B. Acceleration constant, displacement decreasing
• C. Acceleration increasing, displacement decreasing
• D. Acceleration decreasing, displacement increasing
• E. Acceleration increasing, displacement increasing

Answer 1

The correct option is C Acceleration increasing, displacement decreasing

Point A is below the t -axis, which means that the velocity is negative. Since velocity is the change in displacement over time, we can conclude that if the velocity is negative, then the displacement is decreasing.
Acceleration is given by the slope of the graph. Since the line at point A has a positive slope, we know that the acceleration is increasing.