Julian L.
asked • 12/11/20A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 9, s(0) = 5, v(0) = −2
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Raymond J. answered • 12/12/20
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You know that v(t) = s'(t) and a(t) = v'(t) = s''(t). You're given a(t) = 2t + 9, so work backwards. Find the anti-derivative of a(t) to get v(t) = some stuff + C (constant), plug in v(0) to find the constant C. Then find the anti-derivative of v(t) to get s(t) = some stuff + K, and plug in s(0) to find the constant K.
Luke J. answered • 12/12/20
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Stanton D.
Integrate a(t)dt (the first time to v(t)+a constant c1, then integrate that a second time to get s(t) with constant c2. Plug in initial conditions to solve for c1 and c2.12/11/20