66.9k views
0 votes
Vector has a horizontal component ax = 15.0 m and makes an angle q = 38.0° with respect to the positive x direction. What is the magnitude of ay, the vertical component of vector?

1 Answer

4 votes

Final answer:

To find the vertical component ay of the vector, use the equation ay = A * sin(q), where Ax is the horizontal component and q is the angle with respect to the positive x-direction. Plugging in the given values, we find that ay is approximately 9.08 m.

Step-by-step explanation:

To find the vertical component ay of the vector, we can use the trigonometric relationship ay = A * sin(q), where Ax is the horizontal component and q is the angle with respect to the positive x-direction.

In this case, Ax = 15.0 m and q = 38.0°. Plugging these values into the equation, we can calculate ay:

ay = 15.0 m * sin(38.0°) ≈ 9.08 m

Therefore, the magnitude of ay, the vertical component of the vector, is approximately 9.08 m.