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If s=etsin ...

Question

If $s = e^{t} (sin t - cos t)$ is the equation of motion of a moving particle then acceleration at time $t$ is given by

2 e^{t} (cos t + sin t)

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2 e^{t} (cos t - sin t)

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e^{t} (cos t - sin t)

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e^{t} (cos t + sin t)

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Solution

The correct option is A $2 e^{t} (cos t + sin t)$
$s = e^{t} (sin t - cos t)$
Velocity $v = \frac{d s}{d t} = 2 e^{t} sin t$
Acceleration $a = \frac{d v}{d t} = e^{t} (sin t + cos t)$

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\frac{d}{d t} (\frac{x}{y} - \frac{y}{x})

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