Answer
B
Work Step by Step
The value's on the y-axis of the velocity-versus-time graph correspond to the slope on the position-versus-time graph.
We can rule out graph 'a' because the initial velocity is 4, which means that the initial slope on the position-versus-time graph must be 4. However, graph 'a' starts with a horizontal line, which is a slope of zero.
We can also rule out graph c and d because starting at t = 5, the velocity is -2. This means that the slope on the position-versus-time graph at t = 5 must be negative. However, both graphs have a positive slope at t = 5.
This leaves us with graph 'b'
