## What is your Displacement?

**While visiting England, you decide to take a jog and find yourself in the neighborhood shown on the map shown in the figure.**

**What is your displacement after running 2.5 km on Strawberry Fields,1.7 km on Penny Lane, and 5 km on Abbey Road? **

*First get the x & y*

y = 5 cos(40) = 3.83

x = 5 sin(40) = 3.21

Our additional components from strawberry fields and penny laneare:

x_{strawberry} = 2.5km

y_{penny} = -1.7 km

Add your components to find the total of each direction.

x_{total}= 3.21 + 2.5 = 5.71

y_{total} = 3.83 – 1.7 = 2.13

To find displacement, use Pythagorean theorem.

d^{2} = x^{2} + y^{2}

√5.71^{2} + 2.13^{2}

√32.6 + 4.53

= 6.1 km

## Comments ( 6 )

No problem