Homework Problems 1. Compare the responses of $2\dot{v} + v = \dot{g}(t) + g(t)$ and $2\dot{v} + v = g(t)$ if $g(t) = 10u_s(t)$ and $v(0) = 5$.
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You are given the kinematic equation or equations that are used to solve a problem. For each of these, you are to: a. Write a realistic problem for which this is the correct equation(s). Be sure that the answer your problem requests is consistent with the equation(s) given. b. Draw the pictorial representation for your problem. c. Finish the solution of the problem. $$\begin{aligned} v_{1 x} &=0 \mathrm{m} / \mathrm{s}+\left(20 \mathrm{m} / \mathrm{s}^{2}\right)(5 \mathrm{s}-0 \mathrm{s}) \\ x_{1} &=0 \mathrm{m}+(0 \mathrm{m} / \mathrm{s})(5 \mathrm{s}-0 \mathrm{s})+\frac{1}{2}\left(20 \mathrm{m} / \mathrm{s}^{2}\right)(5 \mathrm{s}-0 \mathrm{s})^{2} \\ x_{2} &=x_{1}+v_{1x}(10 \mathrm{s}-5 \mathrm{s}) \end{aligned}$$
1. Explain and discuss the difference in velocity at times t=1 and t=5 for v(t)= 2t-t²
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'Let u = (5, 3) and v = ( - 1, 5) . Express U + V in the form (a,b) U+V = (Simplify your answers:)'
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