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# A jumbo jet needs to reach a speed of 360 km/h (= 224 mi/h) on the runway for takeoff. Assuming a constant acceleration and a runway 1.8 km (= 1.1 mi) long, what minimum acceleration from rest is required?

Navjyot Kalra
6 years ago
We assume that the motion is along the x direction only.
Given:
Initial speed of jumbo jet, v0x = 0 km/h.
Final speed of jumbo jet, vx = 360 km.
Length of runway, x = 1.8 km.
Let us assume that the constant acceleration of the jet is ax and it takes t hours for the jet to reach the final speed vx.
From the equation of kinematics, we have

We can solve for acceleration from the above two equation by eliminating the variable t.
From the second equation, the time t is given as:

Therefore the acceleration ax can be calculated as: