Trajectory of a toy missile The trajectory of a toy missile in (x, y) coordinates can be modeled as the parabola: where
y(x) = ₂x² + ₁x + ₀
use the following information:
₂ = - /2 / ₀²co²(theta₀)
₁ = (theta₀)
= y₀
the initial elevation, y₀ = 1.1m
The initial angle of the missile in radians is theta₀
the initial velocity, ₀ = 70 m/
the horizontal distance the missile flies is 360m
the missile hits a practice target at 1m above
the ground the missile will be launched on Venus where the acceleration due to gravity is 8.87 m/ .
Since the only unknown in equation [1] is the initial angle, theta0, rearrange equation [1] to be in the form of a function of theta₀ and plot it for 0° ≤ theta₀ ≤ 85°. Be sure to label the axes and turn on the grid ( see help on the grid function) . Remember x abel (' theta') will produce theta on the x axis. Even though theta₀ is in radians, the x axis should be in degrees.