A toy rocket is fired at v0 = 40.7 m/s at an angle of ? = 72.3o
with respect to the horizontal on flat level ground. Assuming that
air resistance is negligible, what is its maximum height (H) and
how far (R) will the rocket have traveled in the horizontal
direction by the time it lands?
0.5*M*Vy^2 = M*g*H
H = Vy^2/2g = (V*sin72.3)^2/2g = (40.7*sin72.3)^2/(2*9.81) =76.62m
R = V^2*sin(2*72.3)/g = (40.7^2*sin(72.3*2))/9.8 = 97.92 m
v=40.7
H=(v*sintheta)^2/(2*g)
theta=72.3
g=9.8m/s^2
H=76.7m
R=v^2*sin(2*theta)/(2*g)
=48.95m
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Learning Goal:
To understand how to apply the equations for one-dimensional
motion to the x and y directions separately in
order to derive standard formulas for the range and height of a
projectile.
(Figure 1) A
projectile is fired from ground level at time t=0, at an
angle ? with respect to the horizontal. It has an initial
speed v0. In this problem we are assuming that
the ground is level.
a)Find the time tH it takes the
projectile to...