Question

Motion described by two different objects are shown in the figure. The ratio of accleration of the objects i.e. $\frac{a_A}{a_B}$ is

• A. $3:2$
• B. $5:3$
• C. $2:3$
• D. $3:5$

Answer 1

The correct option is C $2:3$


We know that the acceleration of the object is the slope of $v-t$ curve
Therefore,
Acceleration of object $A$ is given as $a_A=\frac{\Delta v}{\Delta t}=\frac{30-15}{3-0}=5{\text{m/s}}^2$
Similarly, Acceleration of object $B$ is given as $a_B=\frac{\Delta v}{\Delta t}=\frac{30-0}{4-0}=\frac{15}{2}{\text{m/s}}^2$
Hence, the ratio is given as
$\frac{a_A}{a_B}=\frac{5}{\frac{15}{2}}=\frac{2}{3}$, i.e. $2:3$