On a position-time graph for a particle,suppose the plot starts at some positive position and as the time goes on the curve gets steeper and steeper while curving upwards.Which of the following must be true?
A)The speed of the particle is constant.
B)The acceleration of the particle is constant.
C)The speed of the particle is decreasing.
D)The acceleration of the particle is positive.

Question

Quizplus · Accepted Answer

If the curve is getting steeper and curving upwards, it means that the slope of the curve (which represents velocity) is increasing. Therefore, the particle is accelerating, and since the curve is curving upwards, the acceleration must be positive. Choice A and C can be ruled out because the slope of the curve is not constant, and so the speed of the particle cannot be constant or decreasing.

On a Position-Time Graph for a Particle,suppose the Plot Starts