AP Calculus ABeasymcq1 pt

A car's position at time tt seconds is s(t)s(t) meters. What are the units of s(t)s'(t)?

A.meterssecond\dfrac{\text{meters}}{\text{second}}
B.meters\text{meters}
C.seconds\text{seconds}
D.meterssecond2\dfrac{\text{meters}}{\text{second}^2}

Explanation

Core Concept

The derivative is the rate of change of position, so its units are the units of ss divided by the units of tt. Position is measured in meters and time in seconds, giving meters per second.

Correct Answer

Ameterssecond\dfrac{\text{meters}}{\text{second}}

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