A particle can move only along $$x-axis$$. Three pairs of initial and final positions of particle at two successive times are given Pair Initial position Final position $$1$$ $$-3m$$ $$+5m$$ $$2$$ $$-3m$$ $$-7m$$ $$3$$ $$+7m$$ $$-3mFind$$ the sum of magnitudes of displacement in the pairs which give negative displacement in m.

Question

A particle can move only along $$x-axis$$. Three pairs of initial and final positions of particle at two successive times are given Pair                   Initial position                    Final position  $$1$$                             $$-3m$$                                  $$+5m$$  $$2$$                             $$-3m$$                                   $$-7m$$  $$3$$                             $$+7m$$                                 $$-3mFind$$ the sum of magnitudes of displacement in the pairs which give negative displacement in m.

Infinity Learn · Accepted Answer

$$s1=5($$−$$3)=8ms2=$$−$$7$$−$$($$−$$3)=$$−$$4ms3=$$−$$3$$−$$7=$$−$$10m$$ Required value $$=s2+s3=($$−$$14)=14$$

Rectilinear Motion

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A particle can move only along x-axis. Three pairs of initial and final positions of particle at two successive times are given
Pair Initial position Final position
1 -3m +5m
2 -3m -7m
3 +7m -3m
Find the sum of magnitudes of displacement in the pairs which give negative displacement in m.

$\begin{array}{l} s_{1} = 5 (- 3) = 8 m \\ s_{2} = - 7 - (- 3) = - 4 m \\ s_{3} = - 3 - 7 = - 10 m \\ Required value = (s_{2} + s_{3}) = (- 14) = 14 \end{array}$

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