# Question #e7d7a

##### 1 Answer

#### Explanation:

To answer this, one should be guided by the following facts that a displacement;

- is a straight line drawn from its original position to the object's final position.
- is a vector quantity; thus give attention to the direction of motion, but if the direction is one-dimensional motion; direction can be represented as positive or negative. Take note of the following:

#"upward (north)=positive; downward (south)=negative"#

#"left (west)=negative; right (east)=positive"# - is not always equal to the distance being traveled.

This case, the car has traveled

he concept of the Pythagorean Theorem can be applied to find the resultant length of the travel or its displacement.

#"Pythagoream theorem"# states that the square of the hypotenuse of a right triangle is equal to the squares of its legs; that is,

#c^2=a^2+b^2#

The length of the line that connects the final and initial positions of the car can be computed as;

#c=sqrt(a^2+b^2)#

where:

#c="the hypotenuse=the resultant length"#

#a="other leg=300m North"#

#b="other leg=400m West"#

#c=sqrt(300^2+400^2)#

#c=sqrt(90,000+160,000)#

#c=sqrt(250,000)#

#c=500m#

Therefore the displacement is