A pistol that fires a signal flare gives it an initial velocity (muzzle velocity

Question

A pistol that fires a signal flare gives it an initial velocity (muzzle velocity) of 125 m/s at an angle of 65.0 degrees above the horizontal. You can ignore air resistance. A) Find the flare's maximum height if it is fired on the level salt flats of Utah. h max = _____ m B) Find the distance from its firing point to its landing point if it is fired on the level salt flats of Utah. R = ____ m C) Find the flare's maximum height if it is fired over the flat Sea of Tranquility on the Moon, where g = 1.67 m/s^2 h max = ______ m D) Find the distance from its firing point to its landing point if it is fired over the flat Sea of Tranquility on the Moon, where g = 1.67 m/s^2 R = _____ m

Explanation / Answer

a)

h_max = v^2/2g = 125*65s*125*65s/2/9.8 = 654.81 m

b)

t = 2 T = 2 * v/g =2*125*65s/9.8 = 23.12 s

R = 125*65o* 23.12 = 1221 m

c)

h_max = v^2/2g = 125*65s*125*65s/2/1.67 = 3842.598 m

d)

t = 2 T = 2 * v/g =2*125*65s/1.67 = 135.675 s

R = 125*65o* 135.675 = 7167 m

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