13 A projectile is fired from ground level at \(35 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at an angle of \(\theta ^ { \circ }\) above the horizontal.
- State a modelling assumption that is used in the standard projectile model.
- Find the cartesian equation of the trajectory of the projectile.
The projectile travels above horizontal ground towards a wall that is 110 m away from the point of projection and 5 m high. The projectile reaches a maximum height of 22.5 m .
- Determine whether the projectile hits the wall.