A bullet is fired with a certain velocity at an angle ? above the horizontal at

Question

A bullet is fired with a certain velocity at an angle ? above the horizontal at a location where g = 10.0 m/s2. The initial x- and y-components of its velocity are 86.6 m/s and 50.0 m/s respectively. What is the range of the bullet? 1)100 2)433 3)866 4)1000 5)500 A bullet is fired with a certain velocity at an angle ? above the horizontal at a location where g = 10.0 m/s2. The initial x- and y-components of its velocity are 86.6 m/s and 50.0 m/s respectively. What is the range of the bullet? 1)100 2)433 3)866 4)1000 5)500

Explanation / Answer

V=sqrt[Vx^2+Vy^2] =100 m/s

R=V^2sin(2x)

theta =tan^-1(vY/vX) =30 DEGREES

R =V^2sin(2theta)/g

R=100^2sin(2*30)/10

R=866 m

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