Question

vector has y component ay= 13.0m

Answer 1

Vector has y-component $a_y= +13.0m$ . $a$ makes an angle of $36.0\degree$ counterclockwise from the $+y$ -axis. (a) What is the $x$ -component of $a$?

$$\tan (90\degree+36\degree)=\dfrac{a_y}{a_x}$$

$$a_x=\dfrac{a_y}{\tan 126\degree}=-13\tan 36\degree m\approx-9.445m$$

(b) What is the magnitude of $a$?

$$|a|=\sqrt{a_x^2+a_y^2}=\sqrt{(-13\tan 36\degree m)^2+(13m)^2}$$

$$=\dfrac{13}{\cos 36\degree}m\approx16.069m$$