A jetliner touches down at 288 km / h. The plane then decelerates (i.e., undergoes acceleration

step 1 So in this problem, we have a jetliner plane touching down at 288 kilometers per hour, and the p

A jetliner touches down at 288 km / h. The plane then...

A jetliner touches down at $288 \mathrm{~km} / \mathrm{h}$. The plane then decelerates (i.e., undergoes acceleration directed opposite to its velocity) at $3.38 \mathrm{~m} / \mathrm{s}^{2}$. What's the minimum runway length on which this plane can land?

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Key Concepts

Deceleration

Deceleration refers to the reduction in the magnitude of velocity, characterized by an acceleration that acts in the opposite direction of motion. In kinematics, a deceleration is represented as a negative acceleration value, and it plays a critical role in determining how quickly an object comes to a stop, making it vital in safety calculations such as minimum runway length for landing aircraft.

Unit Conversion

In physics problems, especially those involving kinematics, it is crucial to ensure that all quantities are in compatible SI units. This often requires converting speeds from units such as kilometers per hour to meters per second, thereby maintaining consistency in the equations used and ensuring that calculations yield correct results.

Constant Acceleration Kinematics

The equations of motion for constant acceleration are fundamental tools in physics. One key equation, v² = v?² + 2a?x, links the initial and final velocities, acceleration, and displacement. This relationship is essential for solving problems where one needs to determine the stopping distance when a body decelerates uniformly.

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