Question

The graphs below the position versus time for three differences cars 1, 2 and 3. Rank these cars according 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

Answer: (C)

2, 1, 3

Slop of Potion time graph $M=\frac{\text{Change in possion}}{\text{Time taken}}=Velocity$

In a position-time graph, velocity is given by the slope of position curve with time axis. from the given graph, it is clear that car 2 has the maximum slope with time axis at time $t$, then car 1 and as the slope of car 3 is zero with time axis therefore its velocity is zero i.e. it is stationary. the rank is $2,1,3$.