Anorth-south road meets an east-west road at an intersection. at a certain moment, a car on the north-south road is 4 miles north of the intersection and is traveling north at 55 miles per hour. at the same moment, a truck on the east-west road is 3 miles east of the intersection and is traveling east at 45 miles per hour. how fast is the distance between the car and the truck increasing at that moment?

The distance 5 miles North-East of the intersection between the car and the truck increasing at 71.06 miles per hour at that moment.

Step-by-step explanation:

Looking at the attached figures, Fig 1 shows the diagram of the car and the truck.

Using Pythagoras theorem on Fig 1a,

The resultant displacement between the car and the truck at that same moment is 5 miles.

From the velocity vector diagram on Fig 2,

The resultant velocity R is given as

Therefore, the distance 5 miles North-East of the intersection between the car and the truck increasing at 71.06 miles per hour at that moment.

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step-by-step explanation:

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