Find the horizontal and vertical components of the $100-\mathrm{m}$ displacement of a superhero who flies from the top of a tall building following the path shown in Figure $\mathrm{P}1.40$.

Key Concepts: Vector Components, Displacement Explanation: To find the horizontal and vertical components of the displacement, we need to break down the displacement vector into its components. We can do this by using trigonometry. The given figure can be used to identify the angles involved. Step by Step Solution: Step 1. Identify the angle Step 2. Calculate the horizontal and vertical components using trigonometry. $\text{Horizontal Component}=100\cos 45^{\circ }=70.7107\mathrm{m}$ , $\text{Vertical Component}=100\sin 45^{\circ }=70.7107\mathrm{m}$ Step 3. Write the final answer: The horizontal and vertical components of the superhero's displacement are $70.7107\mathrm{m}$ each. Final Answer: The horizontal and vertical components of the superhero's displacement are $70.7107\mathrm{m}$ each.