Question

Birdman is flying horizontally at a

Answer 1

The horizontal and vertical positions, respectively, of the turd are

$x=\left(19\dfrac{\rm m}{\rm s}\right)t$

$y=64\,\mathrm m-\dfrac g2t^2$

where $g=9.80\frac{\rm m}{\mathrm s^2}$ is the acceleration due to gravity.

Solve $y=0$ for $t$ to find the time it takes for the turd to fall to the ground:

$64\,\mathrm m-\dfrac g2t^2=0\implies t\approx13.06\,\mathrm s$

Substitute this into the equation for $x$ to find where the robot should stand:

$x=\left(19\dfrac{\rm m}{\rm s}\right)(13\,\mathrm s)\approx248.16\,\mathrm m$