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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?

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?

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
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
232-799_15.PNG
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:
232-2268_16.PNG
Therefore the acceleration ax can be calculated as:
232-1341_17.PNG

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