Question #18322

Moving man starts int he negative direction with a speed of 3m/s but is accelerating in the positive direction with acceleration of 2.75m/s^2. what is his velocity and displacement at the end of 5.00 seconds?

Expert's answer

Question

The velocity will be equal V=V0+at=3+2.755=3+13.75=10.75msV = V_{0} + a \cdot t = -3 + 2.75 \cdot 5 = -3 + 13.75 = 10.75 \frac{m}{s}.

The displacement: d=V0t+at22=35+2.75252=15+34.375=19.375md = V_{0} \cdot t + \frac{a \cdot t^{2}}{2} = -3 \cdot 5 + \frac{2.75 \cdot 25}{2} = -15 + 34.375 = 19.375 \, \text{m}.

Answer: velocity: 10.75ms10.75 \frac{m}{s}; displacement: 19.375m19.375 \, \text{m}.

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