Question

The figure shown below depicts the distance travelled by a body as a function of time.The average speed and maximum speed between $0$ and $20$ are.

• A. $1m/s,2.0m/s$ respectively
• B. $1m/s,1.6m/s$ respectively
• C. $2.0m/s,2.6m/s$ respectively
• D. $1.3m/s,2.0m/s$ respectively

Answer 1

The correct option is A $1m/s,2.0m/s$ respectively

Average speed = (Total distance)/(Total time)=$\frac{20}{18}\approx 1$m/s
Maximum speed is attained between $t=10s$ to $t=18$ s.
From graph
Distance covered in this time =$20-4=16m$
Time taken $=10s$
So maximum speed =$\frac{16}{8}=2m/s$