2. Flight of a Model Rocket A model rocket is launched from the ground with veloc-
ity 48 ft per sec at an angle of 60° with respect to the ground.
(a) Determine the parametric equations that model the path of the projectile.
(b) Determine the rectangular equation that models the path of the projectile.
(c) Determine approximately how long the projectile is in flight and the horizontal
distance covered.

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.