Answer
The space vehicle moved a distance of 460 m between t = 2.0 s and t = 6.0 s.
Work Step by Step
$a = \frac{\Delta v}{\Delta t} = \frac{162 ~m/s -85 ~m/s}{10.0 ~s} = 7.7 ~m/s^2$
Let $x_1$ be the position at $t = 2.0 ~s$. Then,
$x_1 = v_0t + \frac{1}{2}at^2$
$x_1 = (85 ~m/s)(2.0 ~s) + \frac{1}{2}(7.7 ~m/s^2)(2.0 ~s)^2 = 190 ~m$
Let $x_2$ be the position at $t = 6.0 ~s$.
$x_2 = v_0t + \frac{1}{2}at^2$
$x_2 = (85 ~m/s)(6.0 ~s) + \frac{1}{2}(7.7 ~m/s^2)(6.0 ~s)^2 = 650 ~m$
$\Delta x = x_2 - x_1 = 650 ~m - 190 ~m = 460 ~m$
The space vehicle moved a distance of 460 m between t = 2.0 s and t = 6.0 s.
