Final answer:
To find the x- and y-components of a vector given its magnitude and angle, use trigonometry to calculate the x-component and y-component.
Step-by-step explanation:
To find the x- and y-components of the vector a→ = (11 m/s^2, 38∘ left of −y-axis), we need to use trigonometry. Since the vector is 38∘ left of the −y-axis, it means it is 90∘ - 38∘ = 52∘ above the negative x-axis.
Using the given magnitude and angle, we can find the x-component and y-component as follows:
x-component = magnitude * cos(angle) = 11 m/s^2 * cos(52∘) = 6.67 m/s^2
y-component = magnitude * sin(angle) = 11 m/s^2 * sin(52∘) = 8.32 m/s^2