SOLUTION: I want to determine if one could go from a speed of 20 MPH to 31 MPH in a distance of 90, or 93.3 or 95 feet. Will you help me figure this out? Thank you!
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Question 650194: I want to determine if one could go from a speed of 20 MPH to 31 MPH in a distance of 90, or 93.3 or 95 feet. Will you help me figure this out? Thank you! Answer by solver91311(24713) (Show Source):
You can't calculate the acceleration directly because there is no direct way to determine . But you can get a rough approximation by picking the midpoint of the speed range and using that as a very rough figure for average speed.
So at the "average" speed, it would take about
to cover the 90 feet. Using 2.4 as , we can calculte average acceleration (converting from 11 mph difference to 16 ft/sec difference):
This is just about , about 1/2 to 2/3 of the top acceleration of the typical automobile on the road today. So, yes, an 11 mile per hour increase in speed in a distance of 90 feet (or any greater distance) is well within the realm of possibility.
John
My calculator said it, I believe it, that settles it