Question

The position-time graph of a particle of mass $4 \,kg$ is shown in the figure. Calculate the impulse (in $MKS$ units) at time $t = 0$ and $t = 6 \,seconds$ respectively

• A. $+6.31$ and $- 6.31$
• B. $+3.33$ and $-3.33$
• C. $+6.33$ and $-6.33$
• D. $+3.25$ and $-3.25$

Answer 1

Answer: (B)

$+3.33$ and $-3.33$

Answer 2

The position-time graph gives the velocity

According to this graph, velocity at $t = 6 \,s$
$v = \frac{5}{6} m/s$
Impulse $=$ Change in momentum
$= m_1v_2 - m_2v_1$
$= 4\times 5/6 - 4 \times 0$
$= 20/6 = 3.33$
So option (b) is correct.