Project Description
A projectile is launched from a point A with an initial velocity of $\vec{v_0} = (20\hat{i} + 15\hat{j} + 25\hat{k})$ m/s in
a right-hand coordinate system. The projectile is launched from the origin at time t=0.
The acceleration due to gravity is $g = -9.81\hat{k}$ m/s². Assume there is no air resistance.
1. Determine the coordinate direction angles a, ẞ, y of the initial velocity. [5 pt]
2. Determine the time of flight of the projectile. [10 pt]
3. Calculate the maximum height reached by the projectile. [10 pt]
4. Find the range of the projectile in the horizontal plane (the distance between the launch point
and the point where the projectile lands on the x-y plane). [10 pt]
5. Determine the position vector of the projectile at t=3 seconds. [10 pt]
6. Generate 2 more initial velocity vectors and find the quantities that were asked in questions
1-5 for these new initial velocities, as well. [20 pt]
7. Plot the following with your choice of software like excel, EES, MatLAB, Maple, or similar:
a) x-t values for all three projectiles on a single graph. [10 pt]
b) y-t values for all three projectiles on a single graph. [10 pt]
c) z-t values for all three projectiles on a single graph. [10pt]
Remarks:
The report grade is out of 100 and the grading scheme is given in parentheses.
The report should be submitted with a cover sheet. The cover sheet is given on the last page
of this document. Each student who participated in the assignment should sign the cover
page to indicate that the student has done part of the work. Keep your report neat and
organized. (5 pt)
The final report will be submitted as a single pdf file through Turnitin via Canvas.
