C 12B 2021 #23Analyzing Motion Graphs: Understanding Slopes and Acceleration

[Aaryan34532]

Homework Statement

[/B]
picture 1:

picture 2:

Homework Equations

The Attempt at a Solution

For the first picture I was thinking answer B because at the start velocity increases, but as terminal velocity is hit the velocity doesn't increase as much.. why is it graph A?

For the second picture it shows velocity is constant and then velocity decreases (for the velocity/time graph) so then it would be graph D because the slope is constant and then there is a slope that shows velocity isn't increasing as much referencing the abrupt decrease in velocity in the velocity/time graph.. however the answer is graph C with this curve at the end instead, why is it graph C?

 

[haruspex]

was thinking answer B because at the start velocity increases, but as terminal velocity is hit the velocity doesn't increase as much..

The graphs are of displacement, not velocity.
What aspect of the graph indicates velocity?

 

[Andrew Mason]

The attempt at a solution

For the first picture I was thinking answer B because at the start velocity increases, but as terminal velocity is hit the velocity doesn't increase as much.. why is it graph A?

Think of the slope of the distance vs time graph in relation to the speed vs time graph.

For the second picture it shows velocity is constant and then velocity decreases (for the velocity/time graph) so then it would be graph D because the slope is constant and then there is a slope that shows velocity isn't increasing as much referencing the abrupt decrease in velocity in the velocity/time graph.. however the answer is graph C with this curve at the end instead, why is it graph C?

The first part with constant v is easy. For the secongd part, what does the constant downward slope of the graph say about acceleration? In what direction? In D, the second part has constant slope which says that speed is _________. Is the speed __________?

AM