Respuesta :
The magnitude of a vector is defined as the square root of its components squared.
We have then that the magnitude is:
v = root ((7.50) ^ 2 + (- 6.10) ^ 2)
v = 9.67 units
The direction of the vector is:
x = Atan (vy / vx)
x = Atan ((- 6.10) / (7.50))
x = -39.12 degrees (measured from the x axis)
answer:
v = 9.67 units
x = -39.12 degrees (measured from the x axis)
We have then that the magnitude is:
v = root ((7.50) ^ 2 + (- 6.10) ^ 2)
v = 9.67 units
The direction of the vector is:
x = Atan (vy / vx)
x = Atan ((- 6.10) / (7.50))
x = -39.12 degrees (measured from the x axis)
answer:
v = 9.67 units
x = -39.12 degrees (measured from the x axis)
Answer:
(a) v= 9.66 units
(b) α = -39.12°
α = 39.12° below the positive axis of the x
Explanation:
Data
vx = 7.50 units
vy = -6.10 units
(a)Calculation of the magnitude of v
[tex]v=\sqrt{(v_{x} )^{2} +(v_{y}) ^{2} }[/tex]
[tex]v= \sqrt{(7.5)^{2}+(-6.1)^{2} }[/tex]
v= 9.66 units
(b)Calculation of the direction of v
[tex]\alpha = tan^{-1}( \frac{v_{y} }{v_{x} } )[/tex]
[tex]\alpha = tan^{-1}( \frac{ -6.1 }{7.5 } )[/tex]
α = -39.12°
α = 39.12° below the positive axis