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Assuming that the rate of acceleration is constant and 8 miles per second2 NOT 8 miles per second, as stated,

then v2 = u2 + 2as where

v = final velocity = 64 mph

u = initial velocity = 0 mph

a = acceleration = 8 miles/s2

s = distance travelled (in miles)

so s = (v2 - u2)/(2a) = 64*64/(2*8) = 256 miles.

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