Where on the position graph is the velocity negative?
А)
B
E
t
Remember, velocity = slope of the position graph.
A. from C to E
B. from B to D
C. only from C to D
D. nowhere

Explanation:

As the hint suggests, the velocity corresponds to the slope of the tangent line. As the curve goes downhill, when moving left to right, the tangent slopes will be negative.

In short, the downhill motion indicates we have negative velocity. This occurs on the portion from B to D on the curve. You can think of it like a rollercoaster. When going from D to F is when the curve goes uphill again and we have positive velocity.

Positive velocity = object is speeding up

Negative velocity = object is slowing down

c

Explanation: