Question Solved1 Answer The acceleration of a bus is given by az(t) = at, where a = 1.30 m/s is a constant. Part A If the bus's velocity at time t1 = 1.00 s is 4.95 m/s, what is its velocity at time t2 = 2.00 s? Express your answer in meters per second. ΠΙ ΑΣΦ ? v= m/s Submit Request Answer Part B If the bus's position at time ti = 1.00 s is 6.05 m, what is its position at time t2 = 2.00 s? Express your answer in meters. ΠΙ ΑΣΦ ? m Submit Request Answer

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Transcribed Image Text: The acceleration of a bus is given by az(t) = at, where a = 1.30 m/s is a constant. Part A If the bus's velocity at time t1 = 1.00 s is 4.95 m/s, what is its velocity at time t2 = 2.00 s? Express your answer in meters per second. ΠΙ ΑΣΦ ? v= m/s Submit Request Answer Part B If the bus's position at time ti = 1.00 s is 6.05 m, what is its position at time t2 = 2.00 s? Express your answer in meters. ΠΙ ΑΣΦ ? m Submit Request Answer
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Transcribed Image Text: The acceleration of a bus is given by az(t) = at, where a = 1.30 m/s is a constant. Part A If the bus's velocity at time t1 = 1.00 s is 4.95 m/s, what is its velocity at time t2 = 2.00 s? Express your answer in meters per second. ΠΙ ΑΣΦ ? v= m/s Submit Request Answer Part B If the bus's position at time ti = 1.00 s is 6.05 m, what is its position at time t2 = 2.00 s? Express your answer in meters. ΠΙ ΑΣΦ ? m Submit Request Answer
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a){:[a_(x)(t)=alpha t],[(dV_(x)(t))/(dt)=alpha alpha t],[dV_(x)(t)=alpha tdt]:}Integrating on vott sides{:[int dv_(x)(t)=int alpha t-dt],[v_(x)(t)|_(h)^(t_(2))= alpha(t^(2))/(2)|_(h)^(t_(2))],[v_(x)(t_(2))-v_(x)(t_(1))=(1.3)/(2)xx(t_(2)^(2)-t^(2))],[v_(x)(t_(2))-4.95=(1.3)/(2)xx(2^(2)-1^(2))],[v_(x)(t_(2))=6.9m//s]:}b) from (1) ... See the full answer