Calculating Jet Plane's Acceleration After Full Throttle

In summary, the jet plane's acceleration during the interval is 0.5 m/s/s. This was found using the kinematic formula v2f - v2i = 2as and substituting the given values for initial and final velocities and displacement.
  • #1
Allura
23
0

Homework Statement



A jet plane is cruising at 300 m/s when suddenly the pilot turns the engines up to full throttle. After traveling 2 km, the jet is moving with a speed of 400 m/s. What is the jet's acceleration (in m/s/s) during this interval assuming the acceleration to be constant?


Homework Equations



I was thinking that in order to go further you would have to solve for the seconds? So I used v=m/s and solved for s, which was then 5s. But I'm not sure where to go from there?

Help?
 
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  • #2
Initial and final velocities are given. Displacement is given. Find the kinematic equation which relates Vi, Vf, x and a. And solve for a.
 
  • #3
But the only kinematic formulas I find include time, which isn't given.
 
  • #4
Well, I tried vf=vi+a(t) but I got 20m/s/s, which was wrong.
 
  • #5
Allura said:
Well, I tried vf=vi+a(t) but I got 20m/s/s, which was wrong.

v2f - v2i = 2as

Substitute the values and find a. Here s = 2000 m.
 

FAQ: Calculating Jet Plane's Acceleration After Full Throttle

What is the formula for calculating a jet plane's acceleration after full throttle?

The formula for calculating a jet plane's acceleration after full throttle is: acceleration = thrust / mass, where thrust is the force produced by the jet engines and mass is the total weight of the plane.

How do you determine the thrust of a jet engine?

The thrust of a jet engine can be determined by measuring the amount of air that is being pushed through the engine and the speed at which it is being pushed. This can be measured using specialized equipment such as a thrust-measuring device.

What factors can affect the acceleration of a jet plane?

The acceleration of a jet plane can be affected by various factors such as air density, temperature, altitude, and the weight of the plane. Additionally, the type and condition of the jet engine can also impact the acceleration.

How does air density affect the acceleration of a jet plane?

Air density plays a crucial role in the acceleration of a jet plane. As air density decreases, the amount of air being pushed through the engine decreases, resulting in a decrease in thrust and therefore a decrease in acceleration. This is why jet planes typically have a harder time accelerating at higher altitudes where air density is lower.

Can you calculate the acceleration of a jet plane without using full throttle?

No, the acceleration of a jet plane cannot be accurately calculated without using full throttle. This is because the thrust of the jet engine is a crucial factor in the acceleration calculation. However, it is possible to estimate the acceleration by using partial throttle and making assumptions about the thrust and weight of the plane.

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