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2 years ago

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1 answer:

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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.

Learn more about displacement,

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