Question

A car drives 200 miles east then makes a turn and travels 50 miles north before

arriving at its destination. What is the total distance traveled by the car and what is

the displacement?

Answer 1

The total distance traveled by the car is 250 miles and the displacement is 210.14 miles.

Step-by-step explanation:

The total distance traveled by the car can be found by adding the distance traveled east and the distance traveled north. So, the total distance is 200 miles + 50 miles = 250 miles.

The displacement of the car is the straight line distance from the starting point to the destination. This can be found using the Pythagorean theorem. The east distance is 200 miles, and the north distance is 50 miles. So, the displacement is the square root of (200^2 + 50^2) = 210.14 miles.

Answer 2

Total distance= 250miles

Displacement= 206.15 miles

Step-by-step explanation:

Step one:

given data

A car drives 200 miles east

Turns and travels 50 miles north

Step two:

The total distance travelled= 200+50= 250 miles

The displacement

S^2= 50^2+200^2

S^2= 2500+40000

S^2=42500

S=√42500

S=206.15 miles