Answer
$25.7m$
Work Step by Step
Using the radius formula from the previous parts in this question:
$r(t) = t \sqrt {V_o^2 - V_ogsin(\theta)t + \frac{g^2t^2}{2}}$
T=Now let's find r when $t=2.1s$:
$r(2.1) = 2.1s \sqrt {(16m/s)^2 - 16m/s \times 9.8m/s^2 \times sin(40^{\circ}) \times2.1s+ \frac{(9.8m/s^2)^2(2.1s)^2}{2}}$
$r(2.1) =25.7m$