Math Help - Integral Values Moving Upward

1. Integral Values Moving Upward

A particle moves along the y-axis, so that its velocity at any time t >= 0 is given by v(t) = tcos(t^2). At time t = 0, the position of the particle is y = 3.

Find the values of t, 0 <= t <= 2 in which the particle moves upward.

Can somebody show me how to do this?

2. The particle moves upward if is $v(t)>0$ and that happens for $\cos t^{2} >0 \rightarrow 0 < t < \sqrt{\frac{\pi}{2}}$ ...

Kind regards

$\chi$ $\sigma$