A particle is moving at constant velocity. Its position at t = 1.0 s is 3.0 m and its position at t = 4.0 s is 15.0 m. What is the slope of the position-time graph for this particle?
A)0, since this is a constant velocity situation.
B)4.0 m/s
C)4.0 m/s2
D)9.0 m/s
E)12 m/s2

Question

Quizplus · Accepted Answer

The slope of the position-time graph is equal to the velocity of the particle. Since the particle is moving at constant velocity, the slope of the graph is constant and equal to the velocity of the particle. The velocity of the particle is calculated as follows:```velocity = (change in position) / (change in time)```In this case, the change in position is 15.0 m - 3.0 m = 12.0 m, and the change in time is 4.0 s - 1.0 s = 3.0 s. Therefore, the velocity of the particle is 12.0 m / 3.0 s = 4.0 m/s.

A Particle Is Moving at Constant Velocity