Question-155643

Question Number 155643 by zen17 last updated on 03/Oct/21

Commented by yeti123 last updated on 03/Oct/21

s = \frac{1}{6} t^{4} - \frac{7}{6} t^{3} - 7 t^{2} + \frac{1}{2} t + 1

v = \frac{d s}{d t} = \frac{4}{6} t^{3} - \frac{21}{6} t^{2} - 14 t + \frac{1}{2}

\frac{d v}{d t} = a

\frac{12}{6} t^{2} - \frac{42}{6} t - 14 = 1

2 t^{2} - 7 t - 15 = 0

t = 2 + \frac{1}{2} \sqrt{46}

v \overset{t = 2 + \frac{1}{2} \sqrt{46}}{=} \frac{4}{6} (2 + \frac{1}{2} \sqrt{46}) - \frac{21}{6} (2 + \frac{1}{2} \sqrt{46}) - 14 (2 + \frac{1}{2} \sqrt{46}) + \frac{1}{2}

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