---### Physics Problem: Motion and Deceleration**Equation of Motion:**\[ \Delta x = v_0 t + \frac{1}{2} a t^2 \]**Task:**- **(c)** Calculate the final velocity after 4.00 minutes. Enter your answer to 3 significant figures. - **Final velocity after 4.00 minutes:** \[ v = \_\_\_\_\_ \, \text{m/s} \]- **(d)** Choose the appropriate equation of motion from List 1 to calculate how far the train will travel after 4.00 minutes. Enter your answer to 3 significant figures. - **Displacement of the train in 4.00 minutes:** \[ \Delta x = \_\_\_\_\_ \, \text{m} \]---**Leg 2:**- If the train can slow down at a rate of \(0.550 \, \text{m/s}^2 \), determine the time it will take to come to a stop from the velocity calculated in part (c).- **(e)** Create a list of knowns before calculations. Deduce the initial velocity (\(v_0\)) from part (c). Enter values with correct signs and to 3 significant figures. - Initial velocity (\(v_0\)): \[ v_0 = \_\_\_\_\_ \, \text{m/s} \] - Final velocity (\(v\)): \[ v = \_\_\_\_\_ \, \text{m/s} \] - Acceleration (\(a\)): \[ a = \_\_\_\_\_ \, \text{m/s}^2 \]- **(f)** Decide if the motion of the freight train is with constant velocity or constant acceleration. This will guide the choice of the correct equation of motion. - Select from the options: \[ \text{[Dropdown Menu]} \]Choose the appropriate equation of motion from List 1 to determine how long it will take the train to stop.---*Note: Enter all answers with the correct units.* **Freight trains can produce only relatively small accelerations and decelerations.**### Leg 1**Problem:** What is the final velocity and position of a freight train that accelerates at a rate of 0.0700 m/s² for 4.00 minutes, starting with an initial velocity of 2.00 m/s?#### (a)- **Using the notation**: - Δx = x - x₀ for displacement - x for final position - x₀ for initial position - v for final velocity - v₀ for initial velocity - a for acceleration - t for timeDetermine what quantities are known and what quantities are unknown.- Enter the values of some known quantities below.- Make sure you account for the signs of the vectors using the coordinate system in Part 1.**Inputs: Enter to 3 significant figures. Enter with correct signs.**- v₀ = [Input field] m/s- a = [Input field] m/s²- t = [Input field] s#### (b)**Question:** Is the motion of the freight train one with constant velocity or constant acceleration? This will help you choose the correct equations of motion.- [Dropdown selection for user input]#### (c)**Task:** Choose an appropriate equation of motion from List 1 to calculate the final velocity of the train after 4.00 minutes.**List 1**- Δx = vt- Δx = (v₀ + v) / 2 * t- v = v₀ + at- v² = v₀² + 2aΔxUsers are expected to select an equation from List 1 to solve for the final velocity at the end of the specified time using known values.

Name: ---### Physics Problem: Motion and Deceleration**Equation of Motion:*
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: ---### Physics Problem: Motion and Deceleration**Equation of Motion:**\[ \Delta x = v_0 t + \frac{1}{2} a t^2 \]**Task:**- **(c)** Calculate the final velocity after 4.00 minutes. Enter your answer to 3 significant figures. - **Final velocity after