MAC 1105 College Algebra Term projects
Equations in modeling project
1. A projectile’s motion can be modeled by the quadratic equation:
h = -gt² + v0t + h0 where h = height from the ground; g = gravity constant (16 if units in ft; 4.9 if in meters); t = time in second elapsed from release of projectile; v0 = initial velocity; h0 = initial height. Write the equation for a projectile that is dropped (v0 = 0) from a height of 100 ft. When will it hit the ground? Change the equation to reflect that the object is thrown upward from an initial height of 6 ft at 30 ft/sec. When will the object be back at the starting height? Hit the ground?
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