Consider an object moving in the plane according to the parametric equations $$x=40 t e^{\frac{t}{40}}- 1600 e^{\frac{t}{40}}, \quad y= 120 e^{\frac{t}{40}}$$ where $t$ denotes time.
Then the tangential velocity of the object at time $t$ is given by
$v=$
The velocity has a relative maximum at time
$t=$
and a relative minimum at time
$t=$