Question

An object travels with a constant acceleration for 10 s. The vectors in the figure represent the final and initial velocities Move the endpoints of the lines in the plots to graph the x- component of the velocity versus time, the y-component of the velocity versus time, and the y-component of the acceleration versus time. 20 m/s 30° Velocity vs. time 18 16 30° 7 12 10 4 20 m/s 2 -4 -6 -8 -10 -12 -14

Answer 1

sol) we are given following condition Dis 30° Of = 30° Wil = 20m's Wfl = gomis Auf sin of comis 130 Vis floset Visindi 6۷) ا لا 2omis we can resolve components of initial and final velocities along n and y anis as shown. so for Initial velouty = (visinoi) i - (vi loso;) j Vi = (20 singo) î - 20 Ls30 j ū = (10 î - 17:32 ] ) mis to a component of initial velocity = comis y component of initial velocity = 17.32 mis now similarly final velocity J = (Us los Os) i + Is sin of) I

B5% 20 (0530 + 20 Sin30 ĵ (17.32 ↑ +10f) mis component of final velocity = 17.32 mis component of final velocity = lomis so n that Now we is know vi ã= (17-321 +log) - (1.07-17.399 ) a = 10 7.32 î + 27.32 F (0.732 7 +2.732 7J m ls² 10 acceleration, component = 0.732 m/s2 component a +2.739 me so a a and y

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