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Question Number 207901 by Tawa11 last updated on 29/May/24

Answered by mr W last updated on 30/May/24

$$\mathit{v}=\frac{d\mathit{r}}{dt}=e^t(\cos t-\sin t)\mathit{i}+e^t(\sin t+\cos t)\mathit{j}$$$$\mathit{a}=\frac{d\mathit{v}}{dt}=-2e^t\sin t\mathit{i}+2e^t\cos t\mathit{j}$$$$\mid \mathit{a}\mid =\sqrt{{(-2e^t\cos t)}^2+{\left(2e^t\sin t\right)}^2}=2e^t$$

Commented by Tawa11 last updated on 30/May/24

$$\mathrm{Thanks}\mathrm{sir}.$$$$\mathrm{I}\mathrm{appreciate}$$

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