Question

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

we know that averege speed is $=\frac{finaldistance-initialdistance}{t_2-t_1}$
$=\frac{20}{20}$
Therefore, the average speed $=1m/s$
Now, maximum speed from graph is between time $t=10s$ and $t=18s$
$\therefore V_{max}=\frac{20-4}{18-10}$
Therefore, the maximum speed $=\frac{16}{8}=2m/s$