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## Homework Statement

an airplane has a mass of 5Mg has a touchdown speed of 300m/hr. At which instant the braking parachute is deployed and the power shut off. If the total drag on the aircraft varies with velocity as shown in the accompanying graph, calculate the distance x along the runway required to reduce the speed to 150km/hr. Aproximate the variation of the drag by an equation D=k*(v^2). where 'k' is a constant.

## Homework Equations

integral of (vdv)=a* integrate ds

## The Attempt at a Solution

The constant 'k' was found to be 120,000 newtons/(83m/s)^2

from the graph. Then, how to calculate the displacement is where the help is needed. The calculated answer from the back of the of the book is 201m. Any help on this problem would be appreciated.

thanks