Problem: A jumbo jet must reach a speed of 360km/h on the runway for takeoff. What is the lowest constant acceleration needed for takeoff from a 1.80km runway?

FREE Expert Solution

For this problem, we're asked to find the lowest constant acceleration for the jet to take off. 

When solving problems with uniformly accelerated motion (UAM), Step Zero is making sure that the acceleration is constantotherwise, our kinematics equations don’t apply. Then we'll follow these steps to solve the problem:

  1. Identify the target, known and unknown variables for each part of the problem—remember that only 3 of the 5 variablesx, v0, vf, a, and t) are needed to solve any kinematics problem.
  2. Choose a UAM equation with only one unknown, which should be our target variable.
  3. Solve the equation for the target variable, then substitute known values and calculate the answer.

The four UAM (kinematics) equations are:

 vf = v0 +atx= (vf+v02)tx= v0t+12at2 vf2= v02 +2ax

View Complete Written Solution
Problem Details

A jumbo jet must reach a speed of 360km/h on the runway for takeoff. What is the lowest constant acceleration needed for takeoff from a 1.80km runway?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Kinematics Equations concept. If you need more Kinematics Equations practice, you can also practice Kinematics Equations practice problems.

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Fundamentals of Physics - Halliday Calc 10th Edition. You can also practice Fundamentals of Physics - Halliday Calc 10th Edition practice problems.