Solve the problem. Unless stated otherwise, assume that the projectile flight is ideal, that the launch angle is measured from the horizontal, and that the projectile is launched from the origin over a horizontal surface
-Find the muzzle speed of a gun whose maximum range is 18.8 km. Round your answer to the nearest tenth.
A) 13.6 km/sec
B) 14.1 km/sec
C) 184.2 km/sec
D) 184.7 km/sec

Question

Quizplus · Accepted Answer

The maximum range of a projectile is given by the formula R = (v^2 * sin(2*theta)) / g, where v is the muzzle speed, theta is the launch angle, and g is the acceleration due to gravity. In this problem, we are given that the maximum range is 18.8 km, and we can assume that the launch angle is 45 degrees (since this gives the maximum range). We can also assume that g is 9.8 m/s^2. Plugging these values into the formula, we get:18.8 km = (v^2 * sin(2*45 degrees)) / 9.8 m/s^218.8 km = (v^2 * 1) / 9.8 m/s^2v^2 = 18.8 km * 9.8 m/s^2v = sqrt(18.8 km * 9.8 m/s^2)v = 13.6 km/sTherefore, the muzzle speed of the gun is 13.6 km/s, which is closest to choice A.

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