Solution 19.3b

From Mechanics

Revision as of 09:31, 11 October 2010 by Ian (Talk | contribs)
(diff) ←Older revision | Current revision (diff) | Newer revision→ (diff)
Jump to: navigation, search

\displaystyle \begin{align} & v=\int{a}dt \\ & \\ & =\int{\left( 8-\frac{4t}{5} \right)}dt \\ & \\ & =8t-\frac{2{{t}^{2}}}{5}+c \\ & \\ & t=0,\ v=0\ \Rightarrow \ c=0 \\ & \\ & v=8t-\frac{2{{t}^{2}}}{5} \\ & \\ & v(10)=8\times 10-\frac{2\times {{10}^{2}}}{5}=40\text{ m}{{\text{s}}^{\text{-1}}} \end{align}