A helicopter, A, sets out from O and flies with speed 120 kmh^-1 in direction 3i + 4j. Find the velocity vector of A
2007-11-23 06:47:20 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
get the unit vector of the direction it is
mag = sqrt( 3^2 + 4^2) = 5
then the unit vector is 3/5i + 4/5j
the velocity vector becomes 120*unit vector or
v = 72i + 96j
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2007-11-23 06:52:36 · answer #1 · answered by Anonymous · 1⤊ 0⤋
x-direction: Vx = 120(3/5) = 72 km/h
y-direction: Vy = 120(4/5) = 96 km/h
V = 72i + 96j km/h
2007-11-23 14:54:01 · answer #2 · answered by sahsjing 7 · 0⤊ 0⤋
V = 120 /_θ
θ = tan^(-1) 4 / 3
θ = 53.1°
V = 120 (cos 53.1° + i sin 53.1°)
V = 120 ( 0.6 + 0.8 i)
2007-11-23 14:58:06 · answer #3 · answered by Como 7 · 0⤊ 1⤋