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P Do Homework Ryan Gagnon Google Chrome https:// 7&flushed; false&cld; 3855007¢erwin; yes&from; PlayerCheck yes Ryan Gagnon 5/25/16 1:34 PM Homework: Homework #27 Section 28.1 Overview 26.1.20 Hwy Score: 60% (6 of 100 pts Ex. Score: 0 of 1 pt 6 of 10 complete A hoist mechanism raises a crate with an acceleration (in m a 0.25t, where s the time in seconds. Find the displacement of the crate as a function of time ifv o s and s 3 m for t 0 s Help Me Solve This h View an Example The displacement of the crate is given by s Type an expression using t as the variable.) Textbook Vi Vi Ask My Instructor Print Enter your answer in the answer box, then click Check Answer All parts showing Clear All Check Answer Save 1:34 PM 5/25/2016Explanation / Answer
v(t)=integral of a= 1/0.25 *(1+0.25t)^(3/2)*(2/3)+C=8/3*(1+0.25t)^(3/2) +C
v(0)=0
8/3+C=0
C=-8/3
v(t)=8/3*(1+0.25t)^(3/2)-8/3
s(t)= integral of v(t)= 5*8/3*(1+0.25t)^(5/2)*(2/5)-8/3t+c
s(t)=16/3(1+0.25t)^(5/2)-8/3t+c
s(0)=3
16/3(1+0.25(0))^(5/2)-8/3(0)+c=3
c=-7/3
s(t)=16/3(1+0.25t)^(5/2)-8/3t-7/3
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