(Solved): show work and sketch for c The parametric equations of motion for a projectile fired at an angle ...

The parametric equations of motion for a projectile fired at an angle $?$ at a velocity $v_0$ from a height $\mathrm{H}$ are: $x(t)=v_0(\cos ?)t$ and $y(t)=?4.9t^2+v_0(\sin ?)t+H$, where $\mathrm{x}$ and $\mathrm{y}$ are measured in meters, and $t$ is measured in seconds. A bullet train with a velocity of 600 kilometers per hour is travelling along a ramp with an upward grade of $5\%$. The ramp leads to a road that crosses a lake which is a kilometer across. Before the end of the ramp, the tracks underneath suddenly give way so the bullet train is now shooting off into thin air. The point at which the train leaves the track is 100 meters above the surface of the lake. A. Find the initial velocity in meters per second. B. Find the angle at the moment of departure. C. Sketch the path of the train. D. Find the maximum height of the train.