I walked north 6km at 6km/hr and then west 10km at 5km/hr.what is total displacement if entire trip
To find the total displacement of the entire trip, we need to determine the net displacement, taking into account both the distance and direction of each leg of the trip.
Let's break down the information given:
- You walked north for 6 km at a speed of 6 km/hr.
- You then walked west for 10 km at a speed of 5 km/hr.
For the northward leg, we can calculate the time it took using the formula: time = distance / speed.
Time = 6 km / 6 km/hr = 1 hour.
For the westward leg, the time taken can be calculated similarly:
Time = 10 km / 5 km/hr = 2 hours.
Now, let's calculate the displacement for each leg:
- The northward leg had a distance of 6 km and a time of 1 hour, so the displacement is 6 km north.
- The westward leg had a distance of 10 km and a time of 2 hours, so the displacement is 10 km west.
To find the net displacement, we need to combine the individual displacements. Since we are moving north and west, these directions are perpendicular to each other. We can use the Pythagorean theorem to find the magnitude of the net displacement.
Magnitude of net displacement = sqrt((north displacement)^2 + (west displacement)^2)
Magnitude = sqrt((6 km)^2 + (10 km)^2)
Magnitude = sqrt(36 km^2 + 100 km^2)
Magnitude = sqrt(136 km^2)
Magnitude ≈ 11.66 km
So, the total displacement for the entire trip is approximately 11.66 km.