A particle moves on the x-axis so that its acceleration at any time t > 0 is given by a = (t)/8 - (1)/(t²). When t=1, v=(9)/16, and s=(25)/48, (a) Find the velocity v in terms of t. (b) Does:
a) (a) v = (t²)/16 - 1/t + C, (b) Yes
b) (a) v = (t²)/16 - 1/t + C, (b) No
c) (a) v = (t²)/16 + 1/t + C, (b) Yes
d) (a) v = (t²)/16 + 1/t + C, (b) No