Question

Figure shows the graph of acceleration of particle as a function of time. The maximum speed of the particle is (particle starts from rest)

• A. $8m/s$
• B. $16m/s$
• C. $7m/s$
• D. $4m/s$

Answer 1

The correct option is A $8m/s$

Maximum speed will occur at $t=4s$, because till then 𝑎 is positive.
Area under $a-t$ graph gives the change in velocity, so
$v_f-v_i=\frac{1}{2}\times b\times h$
Therefore, $v_4-0=\frac{1}{2}[4\times 4]$
$v_{4s}=8m/s$
Final answer: $\left(b\right).$