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Physical Science II - Mph of a dragster at the finish line of a race- ?

Please assist me with the following question :

One "G" of acceleration is the rate at which an object will accelerate if it is dropped near the Earth's surface, ignoring air resistance. One "G" of force is the force necessary to generate one G of acceleration (although "G" is not an official SI unit of force).

Suppose you built a rocket-powered dragster which could produce a constant acceleration, for a few seconds, that was similar to the acceleration that Cmdr Shepard experienced for the first several minutes of his flight.

On one pass, your dragster produces a constant acceleration of exactly 5.97 G's throughout the whole race.

How fast would your dragster be going at the end of a drag strip that was exactly 1000 feet long?

Your answer must be in **miles/hour**.

The work I did so far is:

√2(58.506 m/sē)(1000m) = 342.07016824 m/sē converted to MPH = 765.1892 rounded to 765 MPH

Attachment 9118