What Average Acceleration Must a Plane Achieve for Safe Takeoff?

In summary, average speed is the measure of how fast an object moves over a certain distance, and it is important to calculate because it allows for comparison of speeds and determination of efficiency. The formula for calculating average speed is total distance divided by total time. Unit conversion factors can be used to convert units when calculating average speed. The average speed of an object can change over time if the object's speed changes throughout its movement. Average speed differs from instantaneous speed in that it looks at the overall movement of an object, while instantaneous speed focuses on a specific moment in time.
  • #1
VICIOUSinc
1
0

Homework Statement




An airport has runways only 174 m long. A
small plane must reach a ground speed of
42 m/s before it can become airborne.
What average acceleration must the plane’s
engines provide if it is to take off safely from
its airport?
Answer in units of m/s
2
.

Homework Equations



Average acceleration= change in velocity/change in time


The Attempt at a Solution


174/74=4.13m/s^2
 
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  • #2
No, I don't even know how you got that, though I'm sure your units must actually be wrong.

Use v^2=v0^2 + 2*a*d and solve for a.
 

FAQ: What Average Acceleration Must a Plane Achieve for Safe Takeoff?

What is average speed and why is it important to calculate?

Average speed is the measure of how fast an object moves over a certain distance. It is important to calculate because it allows us to compare the speed of different objects and determine the efficiency of their movements.

What is the formula for calculating average speed?

The formula for average speed is: average speed = total distance / total time. This means dividing the total distance traveled by an object by the total time it took to cover that distance.

How do you convert units when calculating average speed?

To convert units when calculating average speed, you can use unit conversion factors. For example, if the distance is given in kilometers and the time is given in hours, you can convert kilometers to meters and hours to seconds to ensure that the units for average speed are in meters per second.

Can the average speed of an object change over time?

Yes, the average speed of an object can change over time if the speed of the object changes throughout its movement. This can occur if the object speeds up, slows down, or changes direction at different points during its journey.

How does average speed differ from instantaneous speed?

Average speed is calculated by dividing the total distance traveled by an object by the total time it took to cover that distance. Instantaneous speed, on the other hand, is the speed of an object at a specific moment in time. Average speed looks at the overall movement of an object, while instantaneous speed focuses on a specific moment.

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