Question

Two cars start moving from the same point.

Answer 1

Step 1:

Two cars are start moving from the same point.

Let south one and west one and distance between them .

one car travels south at and other one travels west at .

.

Draw a right triangle for the given data :

Step 2 :

After two hours,

and .

Solve by using Pythagorean theorem.

Step 3 :

Find by differentiating with respect to

Substitute the corresponding values in the above equation.

After two hours the distance between the cars is .

Solution :

After two hours the distance between the cars is .