Question

(4 pts.) 4. The graph of the motion of a bus is shown in fig. 2. Analyze the motion and find the total distance it travels. Practice both methods - geometric and algebraic VA 60+% - - 90 - - is) H 30 45 Gol 75 65 5. A spider at t; = 1.2 s is at a position Xı = 0.14 m and at t2 = 4.4 s it is located at X2 = .30 m a) What is the spider's displacement b) What is its average velocity? (2 points)

Answer 1

The distance displacement and average velocity

Distance is Area under the graph s= s,+S₂ + S + Sy +55 S = 20x30 + L Xisquo + 15820 +60X20 + 4X10X60 S = 600 +300 + 300 +1200 + 300 s = 270om Sy = Vi XHE 20X30 = 600m for S₂ & 83 a2 = 60-20 = cos = f 13 then S=Vitt tart? Sz 20x15 + £x (1512= Goom and Vz= Vp +424 = 20+ {x15 = Gomes so su=utz = 60xzo = 12oom and

az = o-60 75-6S = omis? so ss = 60 X 10 - IX 6 (10) 2 ss= 600 - 300 = 3oom so s= 270 m -Displacement AX = XX1 3x = 0.30-0.44 =10.16 m 1 Vars = = AX - At 0.16 4.4-1.2 I Vang = o.osmis /