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If x=at+bt², where x is the distance travelled by the body in kilometres while t is the time in seconds, then the unit of b is

Asked in CBSE AIPMT 1989 · Units and conversions

Answer: (3) km/s²

Step-by-step solution

Idea: every term on the right must carry the same unit as x, which is kilometres.

bt² must be in km.

b=x/(t²)

[b]=(km)/(s²)=km s⁻²

For the same reason a is in km s⁻¹.

Why the other options are wrong

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