please box answer ### Relative Motion of Train and Car**Problem Statement:**Train A is traveling at a constant speed \( v_A = 37 \) mi/hr while car B travels in a straight line along the road as shown at a constant speed \( v_B \). A conductor C in the train begins to walk to the rear of the train car at a constant speed of 6 ft/sec relative to the train. If the conductor perceives car B to move directly westward at 19 ft/sec, how fast is the car traveling?**Diagram Explanation:**The diagram shows:1. Train A moving on a track at a speed \( v_A = 37 \) mi/hr.2. Conductor C is walking to the rear of the train at a speed of 6 ft/sec (relative to the train).3. Car B is traveling at speed \( v_B \) on a road parallel to the train.4. Coordinate axes \( x \) (eastward) and \( y \) (northward) along with an angle \( \theta \) showing the path direction of car B relative to the train.**Given Data:**- Speed of Train \( v_A = 37 \) mi/hr- Speed of Conductor = 6 ft/sec (relative to the train)- Perceived Speed of Car by Conductor = 19 ft/sec toward west**Conversion Factor:**- To convert speeds from ft/sec to mi/hr, we use the conversion factor: \(1 \) ft/sec = \( 0.681818 \) mi/hr.**Solution:**To solve the problem, the perceived motion must be converted to common units and analyzed using relative velocity principles. The details of the calculation involve:1. Convert the conductor's speed to mi/hr:\[ 6 \, \text{ft/sec} \times 0.681818 \, (\text{mi/hr per ft/sec}) = 4.09 \, \text{mi/hr} \]2. Given that the perceived westward speed of the car is 19 ft/sec (relative to the conductor):\[ 19 \, \text{ft/sec} \times 0.681818 \, (\text{mi/hr per ft/sec}) = 12.95 \, \text{mi/hr} \]3. The relative speed of the car, when perceived by the conductor moving at 4.09 mi/hr, points

To Find : how much speed of the car is travelling Given : train A constant velocity VA=37…

Train A is traveling at a constant speed VÀ = 37 mi/hr while car B travels in a straight line along the road as shown at a constant speed VB. A conductor C in the train begins to walk to the rear of the train car at a constant speed of 6 ft/sec relative to the train. If the conductor perceives car B to move directly westward at 19 ft/sec, how fast is the car traveling? UB -1x