To find the resultant displacement of the car, we can use the Pythagorean theorem. The car travels 3 km east and then 4 km north, forming a right-angled triangle with these two legs.

1. Identify the legs of the right-angled triangle:
- One leg is 3 km (east).
- The other leg is 4 km (north).

2. Use the Pythagorean theorem to find the hypotenuse (resultant displacement):
$$
\text{Hypotenuse}^2 = (\text{Leg}_1)^2 + (\text{Leg}_2)^2
$$
$$
\text{Hypotenuse}^2 = (3 \text{ km})^2 + (4 \text{ km})^2
$$
$$
\text{Hypotenuse}^2 = 9 \text{ km}^2 + 16 \text{ km}^2
$$
$$
\text{Hypotenuse}^2 = 25 \text{ km}^2
$$

3. Take the square root of both sides to find the hypotenuse:
$$
\text{Hypotenuse} = \sqrt{25 \text{ km}^2}
$$
$$
\text{Hypotenuse} = 5 \text{ km}
$$

Therefore, the resultant displacement of the car is 5 km.

Question

To find the resultant displacement of the car, we can use the Pythagorean theorem. The car travels 3 km east and then 4 km north, forming a right-angled triangle with these two legs.

1. Identify the legs of the right-angled triangle:
   - One leg is 3 km (east).
   - The other leg is 4 km (north).

2. Use the Pythagorean theorem to find the hypotenuse (resultant displacement):
   $$
   \text{Hypotenuse}^2 = (\text{Leg}_1)^2 + (\text{Leg}_2)^2
   $$
   $$
   \text{Hypotenuse}^2 = (3 \text{ km})^2 + (4 \text{ km})^2
   $$
   $$
   \text{Hypotenuse}^2 = 9 \text{ km}^2 + 16 \text{ km}^2
   $$
   $$
   \text{Hypotenuse}^2 = 25 \text{ km}^2
   $$

3. Take the square root of both sides to find the hypotenuse:
   $$
   \text{Hypotenuse} = \sqrt{25 \text{ km}^2}
   $$
   $$
   \text{Hypotenuse} = 5 \text{ km}
   $$

Therefore, the resultant displacement of the car is 5 km.

Knowee AI · Accepted Answer

To find the resultant displacement of the car, we can use the Pythagorean theorem. The car travels 3 km east and then 4 km north, forming a right-angled triangle with these two legs.

1. Identify the legs of the right-angled triangle:
   - One leg is 3 km (east).
   - The other leg is 4 km (north).

2. Use the Pythagorean theorem to find the hypotenuse (resultant displacement):
   $$
   \text{Hypotenuse}^2 = (\text{Leg}_1)^2 + (\text{Leg}_2)^2
   $$
   $$
   \text{Hypotenuse}^2 = (3 \text{ km})^2 + (4 \text{ km})^2
   $$
   $$
   \text{Hypotenuse}^2 = 9 \text{ km}^2 + 16 \text{ km}^2
   $$
   $$
   \text{Hypotenuse}^2 = 25 \text{ km}^2
   $$

3. Take the square root of both sides to find the hypotenuse:
   $$
   \text{Hypotenuse} = \sqrt{25 \text{ km}^2}
   $$
   $$
   \text{Hypotenuse} = 5 \text{ km}
   $$

Therefore, the resultant displacement of the car is 5 km.

A car travels due east on a level road for 3 km. It then travels due north at an intersection and travels 4 km before stopping. The resultant displacement of the car is

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