If s(t) = e^t −tlnt−3t represents the position of a particle at time t, find a(t), the acceleration of the particle at time t = 3.

Question

For this problem I can use TI-89

Answer 1

s'(t) = e^t - (1 + ln t) - 3 = e^t - ln t - 4

s''(t) = e^t - 1/t

e^3 - 1/3