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The figure shows the velocity function for motion along a line. Assume the motion begins with an initial position of s(0)=2. Determine the following. a. The displacement between t=0 and t= 10. b. The distance traveled between t=0 and t= 10. c. The position at t= 10. d. A piecewise function for s(t). a. The displacement is m. (Simplify your answer.) b. The distance traveled between t=0 and t = 10 is (Simplify your answer.) c. The position at t= 10 is r m. (Simplify your answer.) d. Choose the correct answer below. OA. 1² +2 2t+1 s(t) = 0sts1 1 Q

The figure shows the velocity function for motion along a line. Assume the motion begins with an initial position of s(0)=2. Determine the following. a. The displacement between t=0 and t= 10. b. The distance traveled between t=0 and t= 10. c. The position at t= 10. d. A piecewise function for s(t). a. The displacement is m. (Simplify your answer.) b. The distance traveled between t=0 and t = 10 is (Simplify your answer.) c. The position at t= 10 is r m. (Simplify your answer.) d. Choose the correct answer below. OA. 1² +2 2t+1 s(t) = 0sts1 1 Q

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The figure shows the velocity function for motion along a line. Assume the motion begins with an initial position of s(0)=2. Determine the following. a. The displacement between t=0 and t = 10. b. The distance traveled between t=0 and t= 10. c. The position at t= 10. d. A piecewise function for s(t). a. The displacement is m. (Simplify your answer.) b. The distance traveled between t=0 and t= 10 is (Simplify your answer.) c. The position at t = 10 is (Simplify your answer.) d. Choose the correct answer below. O A. 1 ²+2 2t+1 s(t) = m. 0sts1 1<t≤4 -²+10t-15 4<t≤6 2-14t+57 6<t≤8 ₁² 2+10t-39 8<t≤ 10 meters. OB. 5 Av (m/sec) 0- -5 ₁²+2 2t+1 ² s(t)= - +10t-39 4<ts6 Osts1 1<ts4 ²-14t+57 6<t≤8 -t²+10t-15 8<ts 10 t (sec) → HO Q Q Time Remaining: 01
Transcribed Image Text:The figure shows the velocity function for motion along a line. Assume the motion begins with an initial position of s(0)=2. Determine the following. a. The displacement between t=0 and t = 10. b. The distance traveled between t=0 and t= 10. c. The position at t= 10. d. A piecewise function for s(t). a. The displacement is m. (Simplify your answer.) b. The distance traveled between t=0 and t= 10 is (Simplify your answer.) c. The position at t = 10 is (Simplify your answer.) d. Choose the correct answer below. O A. 1 ²+2 2t+1 s(t) = m. 0sts1 1<t≤4 -²+10t-15 4<t≤6 2-14t+57 6<t≤8 ₁² 2+10t-39 8<t≤ 10 meters. OB. 5 Av (m/sec) 0- -5 ₁²+2 2t+1 ² s(t)= - +10t-39 4<ts6 Osts1 1<ts4 ²-14t+57 6<t≤8 -t²+10t-15 8<ts 10 t (sec) → HO Q Q Time Remaining: 01
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