A car is moving along a straight road from A to B, starting from A at time t=0. Below is a graph of the car's velocity (positive direction from A to B), plotted against time.
Here is the link to the graph: https://imgur.com/a/jKX91jW
(a) How many kilometers away from A is the car at time t=6?
(b) At what time does the car change direction? Explain breifly.
(c) On the axes provided, sketch a graph of the acceleration of the car.
This problem is confusing to me. Idk how to look at velocity, accerlation on a graph. Please help. Thank you :)
Let me give you a hint as to how to read the graph:
At t = 0 it is stopped (velocity is 0).
From t = 0 to t = 2 it accelerates (Its velocity is increasing)
From t = 2 to t = 3 it is travelling at a constant velocity (neither increasing nor decreasing -- on cruise control)
From t = 3 to t = 4 it is decellerating (slowing down)
At t = 4 the velocity is zero (it is stopped, but just for that moment)
From t = 4 to t = 5 it is accelerating in a negative direction (in other words, it has turned around and began driving backwards - returning)
From t = 5 to t = 6 it is decreasing its acceleration in a negative direction (its slowing down)
From t = 6 to t = 7 it is stopped (velocity is 0)
From t = 7 to t = 8 it is again accelerating.