Posted by Victoria on Tuesday, October 2, 2012 at 9:17am.
A top fuel dragster can accelerate from 0330mph in the time it takes to go 1000ft. assume that the acceleration is constant. what is the acceleration

science  Jennifer, Tuesday, October 2, 2012 at 5:44pm
x = 1/2 a * t^2
v = a * t
where x is distance, a is acceleration, t is time, and v is speed
First you have to get the units to match. You probably want your answer of acceleration to be in ft/second^2, so convert 330 mph to ft/s
330 miles/hour = 330 miles / 3600 s = 0.0916 miles / s = 0.0916 * 5280 ft / s
= 484 ft / s
Plug numbers into the equation:
1000 = 1/2 a * t^2
484 = a * t
Use algebra to solve for a:
t = 484 / a
Plug equation for t into equation for x and you get:
1000 = (.5 * (484)^2 ) / a
solve for a
a = (.5 * 484^2 )/ 1000
a = 117 ft/s^2
You can then convert this to other units if that's what the problem asks for (i.e., m/s^2, etc)
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