# An equation of motion is given by x=at^2+bt+c where a,b,c are unknown variables. If x=position and t= time, what are dimensions of a,b,c? ?

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- NCSLv 73 weeks agoFavorite Answer
a has units of acceleration, m/s²

b has units of velocity, m/s

c has units of position, m

m = meters

s = seconds

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- VamanLv 73 weeks ago
x is length. All terms should have the dimension of length l. at^2=l, a=l/t^2, bt=l, b=l/t c will have length l.

- oubaasLv 73 weeks ago
c = initial position in meters

b = velocity in meters/sec

a = acceleration in meters/sec^2

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