Consider the cannon model developed and discussed in class. Using the equations below, a launch speed...
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?
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Consider the cannon model developed and discussed in class.
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