Question

The graphs below show the position versus time for three different cars: $1,2,$ and $3$.
Rank these cars according to the magnitudes of their velocities at the time "t" indicated on the graph, greatest first.

• A. $1,2,3$
• B. $1,3,2$
• C. $2,1,3$
• D. $3,2,1$
• E. $3,1,2$

Answer 1

The correct option is C $2,1,3$

The velocity in a position-time graph is given by the slope of the graph with the time axis, as the graph of 3 has zero slopes therefore graph 3 shows zero velocity.

Now we can see that slope of graph 2 is greater than graph 1 therefore velocity by graph 2 will be greater than graph 1.

The result is 2,1,3.