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Question Number 94210 by Pars1z last updated on 17/May/20
((s(t+Δt)−s(t))/(Δt))
$$\frac{{s}\left({t}+\Delta{t}\right)−{s}\left({t}\right)}{\Delta{t}} \\ $$
Answered by prakash jain last updated on 17/May/20
lim_(Δt→0) ((s(t+Δt)−s(t))/(Δt))=(ds/dt)=v  where s is distance                 t is time
$$\underset{\Delta{t}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{s}\left({t}+\Delta{t}\right)−{s}\left({t}\right)}{\Delta{t}}=\frac{{ds}}{{dt}}={v} \\ $$$$\mathrm{where}\:{s}\:\mathrm{is}\:\mathrm{distance} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{t}\:\mathrm{is}\:\mathrm{time} \\ $$

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