A particle's position relative to time

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SUMMARY

The discussion centers on the kinematic equation for the position of a particle, expressed as y = at - bt², where y is the position, t is time, and a and b are coefficients with specific dimensions. The correct dimensions for a and b are identified as L/T² and L, respectively, leading to the conclusion that the answer is option B: L/T² for a and L for b. Understanding these dimensions is crucial for interpreting the motion of the particle along the y-axis.

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candycooke
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The position y of a particle moving along the y-axis depends on the time t according to
the equation y = at - bt2. The dimensions of the quantities a and b are respectively:
A. L2/T, L3/T2
B. L/T2, L2/T
C. L/T, L/T2
D. L3/T, T2/L
E. none of these

I don't understand what the question is asking, nor do I understand what the variables in the answers represent. Any help making sense of the question and answers is greatly appreciated.
 
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Its basically the kinematic equation for position. In the kinematic equation a and b are represented by physical quantities which have units. What are the dimensions of those physical quantities.
 

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