Two objects are moving along separate linear paths where each path is described by position, d, and time, t. The variable d is measured in meters, and the variable t is measured in seconds. The equation describing the graph of the position of the first object with respect to time is d = 2.5t + 2.2. The graph of the position of the second object is a parallel line passing through (t = 0, d = 1). What is the equation of the second graph?
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Answer:
Linear equation: d = mt+ b
If the graph of the position of the second
object is parallel to d = 2.5 t +2.2, than m
= 2.5
t = 0, d = 1
1 = 2.5.0 + b
b = 1
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