Consider the cannon model developed and discussed in class. Using the equations below, a launch speed of 12 m/s, a launch angle of 57.5o , and g = 9.81 m/s2 , answer the following questions
h(t)= vt sinØ -(1/2)gt^2
x(t)= vt cos Ø
a. Develop an algorithm to determine the time required to reach a
height of at least
2.8 meters. List the steps of the algorithm, do not solve the
equations.
b. Solve the equations to compute the time for the projectile to
reach a distance of
8.3 meters (x(t) = 8.3). Additionally, compute the height of the
projectile at that
calculated time. Do not forget to think about whether your
calculator wants the
angle in degrees or radians.
t (x=8.3) = __________, h(x=8.3) = __________
c. If we performed this experiment on Europa, a moon of Jupiter,
where g = 1.315
m/s2, which values would change in the above calculations?
Consider the cannon model developed and discussed in class. Using the equations below, a launch speed...
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Need help solving these two second order differential
equations, the picture below are the answers to them. I'm just
stuck on how to work them out to get those solutions
3 Assignments 3.1 Analysis in the absence of air resistance Ignoring alr resistance, Newton's equations of motion for an object under the influence of gravity alone are quite straightforward. We're also ignoring the fact that the gravitational pull on an object above the earth depends upon its height above the...
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