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?

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

$A_x = A \times Cos 51.7$°

$A_x = 70 \times 0.617$

$A_x = 43.4$ m/s

$A_y = 70 \times Sin 51.7$°

$A_y = 70 \times 0.784$

$A_y = 54.9$ m/s

Hence, the option C is correct.