The graph in the figure shows the position of a particle as it travels along the x-axis. What is the magnitude of the instantaneous velocity of the particle when t = 1.0 s?
Answer:
3.0 m/s
Explanation:
The instantaneous velocity is the speed of the particle at a given moment. On a position vs. time graph, the instantaneous velocity is the slope of the tangent line that touches the curve at that point.
Drawing the tangent line through the point (1, 0), the slope of the line is approximately:
v = (4.0 m − 0 m) / (2.3 s − 1.0 s)
v = 3.0 m/s