A body" A " starts from rest with an acceleration $$a1$$. After $$2$$ $$sec$$, another body" B " starts from rest with an acceleration $$a2$$. If they cover equal distances in the $$5th$$ second after the start of A, then the ratio of $$a1$$:$$a2$$ is equal to

Question

A body" A " starts from rest with an acceleration $$a1$$.  After $$2$$ $$sec$$, another body" B " starts from rest with an acceleration $$a2$$.  If they cover equal distances in the $$5th$$ second after the start of A, then the ratio of $$a1$$:$$a2$$  is equal to

Infinity Learn · Accepted Answer

given initial velocity $$u=0$$;acceleration $$=a1$$;time $$n=5sec$$;substitute in, $$Sn=u+a2(2n-1)---(1)x$$ body A   :    S  $$=$$  $$0+12$$ $$a1$$  (2$$×$$5$$−$$1)   $$=$$   $$9a12---(3)$$ body B:→given initial velocity $$u=0$$;acceleration $$=a2$$;time $$n=3sec$$;substitute in $$equation(1)$$     S  $$=$$  $$0+12$$ $$a2$$  (2$$×$$3$$−$$1)   $$=$$   $$5a22---(4)$$ equate equations (3) and (4)   $$9a12=$$   $$5a22$$ ⇒ $$a1a2=59$$

A body" A " starts from rest with an acceleration $a_{1}$ . After 2 sec, another body" B " starts from rest with an acceleration $a_{2}$ . If they cover equal distances in the 5th second after the start of A, then the ratio of $a_{1} : a_{2}$ is equal to

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A body" A " starts from rest with an acceleration a1. After 2 sec, another body" B " starts from rest with an acceleration a2. If they cover equal distances in the 5th second after the start of A, then the ratio of a1:a2 is equal to

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A body" A " starts from rest with an acceleration $a_{1}$ . After 2 sec, another body" B " starts from rest with an acceleration $a_{2}$ . If they cover equal distances in the 5th second after the start of A, then the ratio of $a_{1} : a_{2}$ is equal to