Question

Vx = 20 m/s , vy = 40 m/s . find the vector's direction. express your answer using two significant figures.

Answer 1

Since both
`v_x` and
`v_y` are positive, the angle the vector
`v` makes with the positive
`x` axis is given by

`\tan^(-1)(v_y)/(v_x)=\tan^(-1)2\approx63.4^\circ`

i.e. 63.4 degrees North of East.

Answer 2

63° NE

Step-by-step explanation:

the direction of a vector is calculated using the formula

tanθ=
`(v_(y) )/(v_(x) )`

where θ=angle resultant vector makes with the horizontal

vₓ=20m/s

`v_(y)`=40m/s

tanθ=
`(40)/(20)`

tanθ=2

θ=tan⁻¹ 2

θ=63.43°

θ=63° to 2 significant figures

the vectors direction = 63°NE