A train travels 8.81m/s in a -51.0 degree direction, the train accelerates for 2.23s, changing its velocity to 9.66m/s in a 37.0 degree direction. The displacement of the train after 2.23 seconds is 25.4 m.
<h3>What is velocity?</h3>
When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.
Resultant velocity of the train,
The resultant velocity of the train is calculated as follows;
R² = vi² + vf² - 2vivf cos(θ)
where,
θ is the angle between the velocity = (90 - 51) + 37 = 76⁰
R² = 8.81² + 9.66² - 2(8.81 x 9.66) cos(76)
R² = 129.75
R = √129.75
R = 11.39 m/s
<h3>Displacement of the train</h3>
The displacement of the train is the change in position of the train after a given period of time.
The displacement is calculated as follows;
Δx = vt
Δx = 11.39 m/s x 2.23 s
Δx = 25.4 m
Thus, the displacement of the train after 2.23 seconds is 25.4 m.
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