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s\mathrm{s} Is the Distance (In ft\mathrm{ft} ) Traveled in Time t\mathrm{t} (In S) by a Particle

Question 158

Multiple Choice

s\mathrm{s} is the distance (in ft\mathrm{ft} ) traveled in time t\mathrm{t} (in s) by a particle. Find the velocity and acceleration at the given time.
- s=2t3+7t2+7t+9,t=2s=2 t^{3}+7 t^{2}+7 t+9, t=2


A) v=40ft/s,a=26ft/s2v=40 \mathrm{ft} / \mathrm{s}, a=26 \mathrm{ft} / \mathrm{s}^{2}
B) v=38ft/s,a=59ft/s2v=38 \mathrm{ft} / \mathrm{s}, a=59 \mathrm{ft} / \mathrm{s}^{2}
C) v=26ft/s,a=40ft/s2v=26 \mathrm{ft} / \mathrm{s}, a=40 \mathrm{ft} / \mathrm{s}^{2}
D) v=59ft/s,a=38ft/s2v=59 \mathrm{ft} / \mathrm{s}, a=38 \mathrm{ft} / \mathrm{s}^{2}

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