An insect moving along a straight line, travels in every second distance equal to the magnitude of time elapsed. Assuming acceleration to be constant, and the insect starts at t $$=$$ $$0$$. Find the magnitude of initial velocity of insect.

Question

Infinity Learn · Accepted Answer

Distance traveled from time ‘$$t-1$$’ $$sec$$ to ‘t’ $$sec$$ isS $$=$$ u $$+$$ $$a2(2t-1)$$ $$-----(i)from$$ given condition S $$=$$ t  $$---(ii)from$$ (i) and (ii), t $$=$$ $$u+a2(2t-1)$$⇒u $$=$$ $$a2+t(1-a)Since$$ u and a are arbitrary constants, and they must be constant for every time.So, coefficient of t must be equal to zero.⇒$$1-a$$ $$=$$ $$0$$ ⇒a $$=$$ $$1$$ for a $$=$$ $$1$$, u $$=$$ $$12unitInitial$$ speed $$=$$ $$12$$ unit

An insect moving along a straight line, travels in every second distance equal to the magnitude of time elapsed. Assuming acceleration to be constant, and the insect starts at t = 0. Find the magnitude of initial velocity of insect.

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