The speed of an object as a function of time is given by the equation v(t) = at² be^-ct. The dimensions of a, b, and c are - A) distance/time, distance/time, and 1/time. B) distance/time, distance/time, and time. C) distance, distance/time, and 1/time. D) distance/time³, distance/time, 1/time. E) distance/time³, distance/time, time.

Question

Quizplus · Accepted Answer

The dimensions of a are distance/time^3 because it is multiplied by t^2 to give speed (distance/time). The dimensions of b are distance/time because it is part of the speed equation. The dimensions of c are 1/time because it is the exponent of time in the exponential function.

The Speed of an Object as a Function of Time