Question

Suppose Madison is traveling due west for 0.5 miles and then due south for 1.2 miles.

Answer 1

Answer:

b) 1.3 units

b) 22.61° East of North

Step-by-step explanation:

$|\vec{AB}|=\sqrt{0.5^2+1.2^2}\\\Rightarrow |\vec{AB}|=\sqrt{0.25+1.44}\\\Rightarrow |\vec{AB}|=\sqrt{1.69}\\\Rightarrow |\vec{AB}|=1.3$

$|\vec{AB}|=1.3\ units$

Magnitude of vector AB is 1.3 units

$tan\theta=\frac{0.5}{1.2}\\\Rightarrow \theta=tan^{-1}\frac{0.5}{1.2}\\\Rightarrow \theta=22.61^{\circ}$

The direction of vector AB is 22.61° East of North