# What Must Be the Length of the New Runway?

• KEVIN Phlem
In summary, the length of the new runway must be quadrupled in order to accommodate the doubled takeoff speed using the same acceleration as before. This can be determined by increasing the time interval by a factor of two, and using this answer to find the necessary distance.
KEVIN Phlem

## Homework Statement

A certain airport runway of length L allows planes to accelerate
uniformly from rest to takeoff speed using the full length of
the runway. Because of newly designed planes, the takeoff
speed must be doubled, again using the full length of the runway
and having the same acceleration as before. In terms of L,
what must be the length of the new runway?

## Homework Equations

Not sure how to evens start.

## The Attempt at a Solution

in my head i said that the runway would double buy i was wrong.

If you need double the speed and you have the same acceleration, by what factor must you increase the time interval? That's an easier problem. Can you find a relevant equation?

## 1. What is the relationship between distance and velocity when the velocity doubles?

When the velocity doubles, the distance traveled also doubles. This is because distance is directly proportional to velocity.

## 2. How does distance change when velocity is tripled?

When the velocity is tripled, the distance traveled increases three times. This is because distance and velocity have a direct relationship.

## 3. Is there a formula for calculating distance when velocity doubles?

Yes, the formula for calculating distance when velocity doubles is D = V * t, where D is the distance, V is the velocity, and t is the time.

## 4. Can distance increase if velocity doubles and time remains constant?

No, if the velocity doubles and the time remains constant, the distance will also remain constant. This is because distance is directly proportional to velocity and time.

## 5. How does the mass of an object affect the distance when its velocity doubles?

The mass of an object does not affect the distance when its velocity doubles. This is because distance and velocity have a direct relationship and mass does not play a role in this relationship.

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