Two particles A and B start from rest and move for equal time on … - Vidyadip

MCQ

Two particles $A$ and $B$ start from rest and move for equal time on a straight line. Particle $A$ has an acceleration of $2\,m / s ^2$ for the first half of the total time and $4\,m / s ^2$ for the second half. The particle $B$ has acceleration $4\,m / s ^2$ for the first half and $2\,m / s ^2$ for the second half. Which particle has covered larger distance?

A
$A$
✓
$B$
C
Both have covered the same distance
D
Data insufficient

✓

Answer

Correct option: B.

$B$

b
(b)

Area under $\nu-t$ graph gives displacement. We can see that area for $B$ is greater than area of $A$. Hence, $B$ has covered larger distance.

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