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An artillery shell is fired at an angle of 31.6 degrees abovethe horizontal grou

ID: 1753191 • Letter: A

Question

An artillery shell is fired at an angle of 31.6 degrees abovethe horizontal ground with an initial speed of 1980 m/s. The acceleration of gravity is 9.8 m/s2. Findthe total time of flight of the shell neglecting airresistance. Answer in units of min. Find its horizontal range, neglecting air resistance. Answer in units of km. An artillery shell is fired at an angle of 31.6 degrees abovethe horizontal ground with an initial speed of 1980 m/s. The acceleration of gravity is 9.8 m/s2. Findthe total time of flight of the shell neglecting airresistance. Answer in units of min. Find its horizontal range, neglecting air resistance. Answer in units of km.

Explanation / Answer

       Given that angle ofprojection is = 31.60        Initial speed is u = 1980m/s ----------------------------------------------------------------------           Totaltime of flight is T = 2Usin /g                                             = 2*1980 m/s*sin31.60 /9.8m/s2                                                 =211.73 s          Horizontal range is R = U2sin2 / g                                           = (1980m/s)2sin63.20/ 9.8m/s2                                            =------------ m           Initial speed is u = 1980m/s ----------------------------------------------------------------------           Totaltime of flight is T = 2Usin /g                                             = 2*1980 m/s*sin31.60 /9.8m/s2                                                 =211.73 s          Horizontal range is R = U2sin2 / g                                           = (1980m/s)2sin63.20/ 9.8m/s2                                            =------------ m   
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