A body travels uniformly a distance of (S+$$Δ$$S) in a time (t$$±Δ$$t). what may be the condition so that body within the error limits move with a velocity St±ΔSΔt?

Correct option is 1Δtt+S(Δt)2(ΔS)t2=±1

Questions

A body travels uniformly a distance of $(S + Δ S)$ in a time $(t \pm Δ t)$ . what may be the condition so that body within the error limits move with a velocity $(\frac{S}{t} \pm \frac{Δ S}{Δ t}) ?$

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Δtt+S(Δt)2(ΔS)t2=±1

Δtt+SΔtΔSt=±1

Δtt+(ΔS)tS(Δt)=±1

Δtt+S2Δt(ΔS)2t=±1

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detailed solution

Correct option is A

V=StΔV=1t⋅∂S∂S⋅ΔS+St2Δt=ΔSt+SΔtt2 So ΔSt+SΔtt2=ΔSΔt⋅Δtt+(ΔS)⋅S(Δt)2(ΔS)⋅t2(Δt) or ΔSΔtΔtt+S(Δt)2(ΔS)t2=±ΔSΔt (given) So, Δtt+S(Δt)2(ΔS)t2=±1

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A body travels uniformly a distance of (S+ΔS) in a time (t±Δt). what may be the condition so that body within the error limits move with a velocity St±ΔSΔt?

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A body travels uniformly a distance of $(S + Δ S)$ in a time $(t \pm Δ t)$ . what may be the condition so that body within the error limits move with a velocity $(\frac{S}{t} \pm \frac{Δ S}{Δ t}) ?$