Question

The two position-time graphs time in seconds pictured below on the same grid represents the position of a motorized car (red) and a cart coming down a ramp (blue). At what time are their velocity close to being the same?

• A. 1 second
• B. 2 second
• C. 3 second
• D. 4 second
• E. 5 second

Answer 1

The correct option is C 3 second

Velocity of an object is given by the slope of its displacement-time or position-time graph,

The slopes of the two curves becomes parallel at approx.at $t=3s$.

So the slopes of the two curves is same at $t=3s$

Hence the velocities of the two objects is same at $t=3s$