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when an alvia high -speed train that is stopped in barcelona leaves the station, its speed increases (accelerates) at a constant rate

Question

When an Alvia high -speed train that is stopped in Barcelona leaves the station, its speed increases (accelerates) at a constant rate of 3 ,888 kilometers per hour squared ((km)/(hr^2)) . If his the time, in hours, it takes for the train to reach a speed of 250(km)/(hr) , which of the following equations best describes this situation?

Solution

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4.3 (201 Votos)
Tatiani Profissional · Tutor por 6 anos

Resposta

To find the equation that best describes the situation, we need to use the formula for acceleration, which is given by: where:- is the acceleration,- is the change in velocity,- is the change in time.Given:- The acceleration is ,- The initial velocity is (since the train starts from rest),- The final velocity is .We need to find the time it takes for the train to reach the speed of .Using the formula for acceleration, we can rearrange it to solve for : Substituting the given values: Therefore, the equation that best describes this situation is: where:- is the time in hours,- is the velocity in ,- is the acceleration in .So, the equation that best describes this situation is: