The conversion of 5 kilometers per hour (km/h) to meters per second (m/s) gives us approximately 1.39 m/s.

Now, let's use a simplified estimation equation for the distance traveled on a frictionless plane with the decelerating force due to air resistance. The classic equation for the distance traveled with constant deceleration is given by:

[ d = \frac{v_i^2}{2a} ]

Where: ( d ) = distance traveled ( v_i ) = initial velocity ( a ) = deceleration due to air resistance

Given: ( v_i = 1.39 , m/s ) (approximation from 5 km/hr) ( a ) = decelerating force due to air resistance

To provide an approximate estimation of the distance traveled under these conditions, we need to know the decelerating force due to air resistance. The calculation of this force involves several variables including the body's surface area, drag coefficient, and air density, which can make the calculation quite complex.

If you have specific values for these variables and prefer a more precise estimation, I can guide you through the specific calculation. Otherwise, I can provide a general overview of how these variables affect the decelerating force due to air resistance.

Sources

Convert 5 km/h to m/s - UnitConversion.io5 km/hr to m/s - CalcItFastConvert km/h to m/s | kmph to mps - CuemathKilometers per Hour to Meters per Second Conversion (km/h to m/s) - Inch CalculatorConvert km/h to m/s - Conversion of Measurement UnitsConvert km/h to m/s - Speed / Velocity Conversions - CheckYourMath

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