Contents

- A red car and a green car travel 1000.0m
- The difference in their speeds
- The time it takes for them to reach the finish line
- How far the green car travels in the time it takes the red car to travel 1000.0m
- How long it would take the green car to travel 1000.0m if it maintained the same speed as the red car
- The speed of the green car
- The speed of the red car
- Why the green car was able to travel further in the same amount of time
- How this scenario could be used to teach a lesson about speed
- The moral of the story

A red car and a green car travel 1000.0m. The green car has a head start of 100.0m. What is the final velocity of each car?

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## A red car and a green car travel 1000.0m

The red car travels at a constant speed of 30.0m/s for the entire distance. The green car starts at rest and accelerates uniformly at 3.0m/s2 for the first 200.0m before reaching a constant speed of 21.0m/s for the remainder of the journey.

Assuming that there are no other forces acting on the cars (such as friction or air resistance), which car will have travelled further by the time they reach 1000.0m?

The answer is that both cars will have travelled the same distance by the time they reach 1000.0m. This may seem counterintuitive, but it can be shown with a simple application of the equations of motion.

Assuming that both cars start from rest, we can write the following equations for their respective distances travelled:

Red car: d = 30t (where t is time in seconds)

Green car: d = 0 + 3t2 (where t is time in seconds)

If we set these equations equal to each other and solve for t, we find that t = 10 seconds. This means that it will take 10 seconds for both cars to travel 1000.0m.

## The difference in their speeds

The difference in their speeds is that the red car’s speed is 0.5 m/s slower than the green car’s.

## The time it takes for them to reach the finish line

It is a common misconception that the time it takes for light to travel is affected by the object’s color. Many people believe that since red light has a longer wavelength than green light, it must travel slower. However, the speed of light is always the same, regardless of its wavelength. So, if two cars – one red and one green – were to travel 1000.0m, they would both reach the finish line at the same time.

## How far the green car travels in the time it takes the red car to travel 1000.0m

The green car will travel 990.0m in the time it takes the red car to travel 1000.0m.

## How long it would take the green car to travel 1000.0m if it maintained the same speed as the red car

If the green car maintained the same speed as the red car, it would take it 10 seconds to travel 1000.0m.

## The speed of the green car

The speed of the green car is 60.0 km/h.

## The speed of the red car

The speed of the red car is 22.0m/s.

## Why the green car was able to travel further in the same amount of time

If the green car had a head start, then it would be able to travel further in the same amount of time. If both cars had the same starting speed, then the green car would be able to travel further due to its lower drag coefficient.

## How this scenario could be used to teach a lesson about speed

This scenario could be used to teach a lesson about speed. If the red car is travelling at a constant speed of 100.0m/s and the green car is travelling at a constant speed of 50.0m/s, it will take the green car twice as long to travel 1000.0m as it will take the red car.

## The moral of the story

The moral of the story is that it is never too late to learn. The two cars represent two different ways of life. The red car is the more traditional way while the green car is more modern.