A delivery truck travels 2.8 km North, 1.0 km East, and 1.6 km South. The final displacement from the origin is ___km to the ___.(round to the nearest tenth) (write the resultant vector as NE, SE, NW, or SW)

The final displacement from the origin is 1.6 km to the NE

Explanation:

The directions in which the delivery truck travels are;

1) 2.8 km North = 2.8·, in vector form

2) 1.0 km East = 1.0·, in vector form

3) 1.6 km South = -1.6·, in vector form

Therefore, to find the final displacement, Δx, of the delivery truck, we add the individual displacements as follows;

Final displacement, Δd = 2.8· + 1.0· +(-1.6·) = 1.2· + 1.0·

Final displacement, = 1.0· + 1.2·

Where;

Δx = The displacement in the x-direction = 1.0·

Δy = The displacement in the y-direction = 1.2·

The magnitude of the resultant displacement vector is given as follows

= √((Δx)² + (Δy)²) = √(1² + 1.2²) ≈ 1.6 (To the nearest tenth)

The magnitude of the resultant displacement vector ≈ 1.6 km

The direction of the resultant vector is positive for both the east and north direction, therefore, the direction of the resultant vector = NE

Therefore, the resultant displacement of the delivery truck is approximately 1.6 km, NE from the origin.

technology is the application of the knowledge gained by science.

ingenuity says that the answer is 2.7 m.