A car increases its speed from 30 mph to 60 mph in 10 seconds.
(a) Determine your acceleration,
in m / s2
, assuming it is constant. (b) What distance, in meters, does it
travel in that time?
Solution) u = 30 mph
1 mph = 0.447 m/s
u = 30×0.447 = 13.41 m/s
v = 60 mph = 60×0.447 = 26.82 m/s
t = 10 s
(a) Acceleration , a = ?
v = u + at
a = ( v - u )/(t)
a = (26.82 - 13.41)/(10)
a = 1.341 m/s^2
(b) Distance, S = ?
v^2 = u^2 + 2aS
S = ( v^2 - u^2 )/(2a)
S = (26.82^2 - 13.41^2)/(2×1.341)
S = 201.15 m
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