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If x = a + bt², where x is the distance travelled by the body in kilometers while t is the time in seconds, then the unit of b is:
- km/s
- km/s²
- km/s³
- kms²
Correct answer: km/s²
Solution
In x = a + bt², both a and bt² must have the same unit as x, which is kilometers. Because t² has units of s², b must have units of km/s² so that b·t² becomes km.
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