Question

If object moves on line with velocity v(t), where v(0) = 1 and v(1) = 2. And there is a constant k such that a = k*(t^3/v^2). Find velocity of object at time t=2

Answer 1

v = v(t)m/s, a = a(t) m/s^2

v(0) = 1
v(1) = 2

\[a = k \frac{ t ^{3} }{ v^{2} }\]

Find v(2)

Answer 2

I think I may have to use this equation:
\[v(t) = \int\limits_{}^{}a(t)dt + k\]