A projectile is launched from a platform on a ballistic trajectory described by the equation:
h= -0.01d^2+1.3d+5
where d = the distance of the projectile from the launch site in metres
and h = the height of the projectile above the ground in metres
Using differential calculus:
Determine the projectile’s rate of climb with respect to it’s distance travelled when it was launched (at launch d = 0), and from this the angle of elevation (from horizontal) at which the projectile was launched.
Determine the distance from the launch site at which the projectile reaches its maximum height.
Using the distance from the launch site at which the projectile reaches its maximum height, calculate the value of the maximum height reached by the projectile.