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4. Find the displacement from position 1, Delta overrightarrow (d)_(1)=+45cm to position 2, Delta overrightarrow (d)_(2)=+33cm (3) Draw a picture for full marks The displacement is from 1-to nosition 2 is +78cm

Question

4. Find the displacement from position 1, Delta overrightarrow (d)_(1)=+45cm to position 2, Delta overrightarrow (d)_(2)=+33cm (3) Draw a picture for full marks The displacement is from 1-to nosition 2 is +78cm

4. Find the displacement from position 1, Delta overrightarrow (d)_(1)=+45cm to position 2, Delta overrightarrow (d)_(2)=+33cm (3)
Draw a picture for full marks
The displacement is from 1-to nosition 2 is +78cm

Solution

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SaulMaster · Tutor for 5 years

Answer

Here's how to find the displacement and a diagram to illustrate:<br /><br />**Understanding Displacement**<br /><br />Displacement is a vector quantity, meaning it has both magnitude (size) and direction. It represents the change in position from a starting point to an ending point. In one-dimensional motion (like this problem), the direction is indicated by a positive or negative sign.<br /><br />**Calculation**<br /><br />Since both displacements are along the same direction (positive), we simply add them to find the total displacement from position 1 to position 2.<br /><br />Δd<sub>total</sub> = Δd<sub>1</sub> + Δd<sub>2</sub><br />Δd<sub>total</sub> = +45 cm + 33 cm<br />Δd<sub>total</sub> = +78 cm<br /><br />**Diagram**<br /><br />```<br /><----------------------- 78 cm -----------------------><br />Position 1 Δd₁ = +45 cm Position 2<br />|----------------------|-------------------|<br /> Δd₂ = +33 cm<br /><-----------------------------------------------------><br /> Δd<sub>total</sub> = +78 cm <br />```<br /><br />**Answer**<br /><br />The displacement from position 1 to position 2 is +78 cm. The positive sign indicates the displacement is in the positive direction (whatever direction has been defined as positive in this context).<br />
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