The value of the [tex]\rm \triangle x[/tex] will be 29.14 m. Delta represent the change.
What is velocity?
The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The velocity in the part 1;
V₁ = 8.81
The velocity in the part 2;
V₂ = 9.66 m/sec
The resultant of the two vectors of velocity gives the velocity for the connecting path.
[tex]\rm V = \sqrt{8.81 ^2 + 9.66^2 } \\\\ V= 13.07 \ m/sec[/tex]
The time period for the train accelerates;
[tex]\rm \triangle x = v \times t \\\\ \triangle x = 13.07 \ m/sec \times 2.23 \ sec \\\\ \triangle x = 29.14 \ m[/tex]
Hence the value of the [tex]\rm \triangle x[/tex] will be 29.14 m.
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