Question

A body starts with an initial speed of $3$ m/s at $t=0$, the acceleration time graph is shown in the figure. The maximum velocity attained by the body will be:

• A. $15$ m/s
• B. $18$ m/s
• C. $30$ m/s
• D. $33$ m/s

Answer 1

The correct option is B $18$ m/s

The area under acceleration and time graph gives us the change in velocity of the object viz.=$Final-initialvelocity$.

Area of under the graph can be calculated by right angle triangle formula=$\frac{1}{2}\times Base\times altitude$

Here $base$= time take to accelerate by an amount of $5m/s^2$(altitude)

Thus change of velocity =$\frac{1}{2}\times 6\times 5=15$

As mentioned above, change in velocity = $final-initialvelocity=15$ m/s

Thus the maximum velocity the body will attain =$15+3=18$ m/s