Question

The displacement-time graph of motion of a particle is shown in the figure. The ratio of the magnitudes of the speeds during the first two seconds and the next four seconds is:

• A. $1:1$
• B. $1:2$
• C. $2:1$
• D. $1:\sqrt{2}$

Answer 1

The correct option is C $2:1$

Slope of displacement-time curve gives the speed.
For first 2 seconds, speed $v=\frac{40}{2}=20m/s$
For the last 4 seconds, speed $v=\frac{40}{4}=10m/s$
Hence, ratio $=20/10=2:1$