Question

3. A projectile leaves the barrel of a cannon with a speed of 162 feet/sec at an angle of 22.61 degrees above the horizontal. Ignoring the effects of air friction find: (a) the maximum altitude achieved by the projectile (b) the horizontal range achieved by the projectile (c) the displacement and the velocity (both are vectors in 2D) of the projectile 7.72 seconds after firing. Calculate quantities in units of feet and feet

Answer #1

A projectile leaves the barrel of a cannon with a speed of 633
feet/sec at an angle of 55 degrees above the horizontal. Ignoring
the effects of air friction find:
(a) the maximum altitude achieved by the projectile
(b) the horizontal range achieved by the projectile
(c) the displacement and the velocity (both are vectors in 2D)
of the projectile 15 seconds after firing.
Calculate quantities in units of feet and feet/sec.

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,...

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