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# pleasseeee helppp with this problem: an object with mass m subjected to a force F=kte^-at, find v(t) a(t)?

an object with mass m subjected to a force F=kte^-at, find v(t) a(t) and show that in small times

v(t) = (k/m)(1/2)t^2

a(t) =(k/m)(1/6)t^3

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- MechEng2030Lv 77 years agoFavorite Answer
F = ma(t) = kte^(-at) => a(t) = k/m * te^(-at)

v(t) = ∫a(t) dt = k/(ma^2) * (-ate^(-at) - e^(-at) + C)

= -k/(ma^2) * e^(-at)*(at + 1 + Ce^(at))

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