Question

What are the components of vector A if its magnitude is 70 m/s and makes an angle of 51.7° with the +x-axis?

A. Ax = 53.6 m/s, Ay = 87.0 m/s


B. Ax = 87.0 m/s, Ay = 53.6 m/s


C. Ax = 43.4 m/s, Ay = 54.9 m/s


D. Ax = 54.9 m/s, Ay = 43.4 m/s

Answer 1

Since, A is a vector. Hence, we can break it into two components (x and y)

Angle made by the velocity vector A with the x-axis = 51.7°

Magnitude of the vector A = 70 m/s

`A_x = A * Cos 51.7`°

`A_x = 70 * 0.617`

`A_x = 43.4` m/s

`A_y = 70 * Sin 51.7`°

`A_y = 70 * 0.784`

`A_y = 54.9` m/s

Hence, the option C is correct.