Question

The figure shows six frames from the motion diagram of two moving cars. A and B Choose an appropriate coordinate axis We'll use the same axis for both cars Draw both a position vs time graph and a velocity vs time graph Show both cars on each graph, labeling them A and B Also label the time frames on the time axis of both graphs Do the two cars ever have the same position at one instant of time? If so, in which frame number (or numbers)? Do the two cars ever have the same velocity at one instant of time? If so between which two frames?

Answer 1

Poistion vs time 3.5 8.4 2.5 5.3 1.8 1.5 8.1 8.4 0.5 0.3 Velo y vs time 1.8 0.3

The first graph is the position time graph and second one is velocity time graph. I chose some data points based on teh dot points (track points ) to show the exact graph parameters. The time frames as per the given from 0 to 5 seconds. Blue line represent car A and red line represent car B in both the graphs.

Car A is moving with constant speed and car B is declearating.

b)

From the position time graph we see that at any point of time, the position is not identical.

c)

The velocity at 4 sec is same both the car. Graphs overlap at t =4 s.