Question

What do we need?

▪ Assumptions: Negligible air resistance, no wind effects,

▪ Governing equations: projectile equations (equations of motion)

Equations:

x= Vo Cosxt (1)

Vx=Vocosx (2)

Y= 1/2gt^2 +Vosinxt +Yo (3)

Vy= Vosinx+gt (4)

▪ find the optimal firing parameters (firing angle, muzzle velocity) to hit a target that is a distance away and you are shooting from a hill.
Start calculating and optimizing.

Vo = 10 ft/sec

Yo = 100 ft

g = 32 ft/sec^2

t = time, vary that parameter
from 0 seconds until Y = 0 ft

Find the angle, Theta, for which the range (X whenY = 0 ft) is the largest.

Explain why this “optimal” angle is not 45 degrees as we have learned from other exercises?

Answer 1