Question

Q2)A cart travels 4 meters east and then 4 meters north.
Determine the magnitude of the cart’s resultant displacement

Answer 1

Answer:

Hopefully it will help u

Answer 2

The magnitude of the cart's resultant displacement is 4√2 m.

Given:

A cart travels - 4 meters east and 4 meters north.

To Find:

The magnitude of the cart's resultant displacement.

Solution:

We are required to find the magnitude of the cart's resultant displacement.

• Displacement is the shortest path in an entire journey.

Let us consider a cart is at A initially then travels 4 meters east and then 4 meters north.

It is represented in the picture given below.

From the picture, the resultant displacement is on the other side of the right-angled triangle.

According to the Pythagorean theorem

AC² = AB²+BC²        -----(1)

where AC is the resultant displacement(R)

AB = 4 m, BC = 4 m substitute in equation(1)

R² = 4²+4²

    = 16+16

    = 32

R = √32

  = √2×2×2×2×2

|R| = 4√2 m

Therefore, The magnitude of the cart's resultant displacement is 4√2 m.

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