A rocket is launched at an angle of 53 degrees above thehorizontal with an initi

Question

A rocket is launched at an angle of 53 degrees above thehorizontal with an initial speed of 75 m/s. It moves for 25 s alongits initial line of motiion with an acceleration of 25 m/s^2. At this time, its engine fail and the rocket proceeds to move as afree body. a. What is the rocket's maximum altitude? b. What is the rocket's total time of flight? c. What is the rockets"s horizontal range? A rocket is launched at an angle of 53 degrees above thehorizontal with an initial speed of 75 m/s. It moves for 25 s alongits initial line of motiion with an acceleration of 25 m/s^2. At this time, its engine fail and the rocket proceeds to move as afree body. a. What is the rocket's maximum altitude? b. What is the rocket's total time of flight? c. What is the rockets"s horizontal range?

Explanation / Answer

a) maximum altitude               H = u2 sin2 /2g                   = 752*sin2 53o / 2*9.8                   = 183m b) time of flight              T = 2u sin /g                 = 2*75*sin 53o / 9.8                 =12.22s c) horizontal range             R =u2 sin 2 /g                 = 75*75*sin 106o /9.8                 = 551.7m                                       

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