Question

required information
four vectors are shown below, where ( l = 8.00 ).

find the ( y )-component of the vector ( vec{b} ).

(square) m/s

Explanation:

Step1: Identify vector magnitude and angle

Magnitude $l = 8.00$ m/s, angle below x-axis: $20.0^\circ$

Step2: Calculate y-component (negative direction)

$B_y = -l\sin(20.0^\circ)$
$B_y = -8.00\times\sin(20.0^\circ)$
$B_y \approx -8.00\times0.3420 = -2.736$

Answer:

$-2.74$ m/s (rounded to three significant figures)