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 134m/s at an angle of 57.1? 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. (answer: 646 m)

(b) Find the distance from its firing point to its landing point if it is fired on the level salt flats of Utah.

(c) Find the flare's maximum height if it is fired over the flat Sea of Tranquility on the Moon, where g=1.67m/s2.

(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=1.67m/s2.

Explanation / Answer

flare max height = initial vel ^2 sin ^2 (theta) / 2g = 645.83

Range = initial vel ^2 x sin 2 theta/ g = 134^2 x sin (2x57.1) / 9.81 = 1671.23 m

Case of moon

Height = 3789.906 m

Range = 9807.2 m since value of g in range formula will be 1.67 so the factor by which it changes is 5.87 as compared to earth

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