The initial position of the object for the given position vs time table is 80 m.
How to calculate the initial position?
The initial position of the object is determined by applying the following method below.
The given values are as follows:
S(m): 80, 60, 20
t(sec): 10, 20, 50
To determine the initial position, we would look at the value of S(m) when t(sec) is at its minimum (i.e., the earliest time point). In this case, the minimum value of t(sec) is 10 seconds.
So, the initial position (S₀) is 80 meters at t = 10 seconds. So we can conclude that, the initial position is 80 meters.