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Solution 19.2b

From Mechanics

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(New page: <math>\begin{align} & s(50)=\int_{0}^{50}{v}dt \\ & \\ & =\int_{0}^{50}{\left( \frac{{{t}^{2}}}{50}+2 \right)dt} \\ & \\ & =\left[ \frac{{{t}^{3}}}{150}+2t \right]_{0}^{50} \\ & \\...)
Current revision (09:36, 11 October 2010) (edit) (undo)
 
Line 1: Line 1:
 +
Using the result for the velocity obtained in part a)
 +
<math>\begin{align}
<math>\begin{align}
& s(50)=\int_{0}^{50}{v}dt \\
& s(50)=\int_{0}^{50}{v}dt \\

Current revision

Using the result for the velocity obtained in part a)

s(50)=050vdt=050t250+2dt=t3150+2t050=503150+2500=933 m