Pergunta
1 melling object increares its velocity unifurmly frum 201111 to 401111 in 2 mathrm(min) what is i. average velocity? b. Displacement of the obied the 2 min?
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JoséEspecialista · Tutor por 3 anos
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To solve this problem, we need to find the average velocity and the displacement of the object over the given time period.<br /><br />i. Average Velocity:<br />The average velocity is defined as the total displacement divided by the total time taken. In this case, the object increases its velocity uniformly from 201111 to 401111 in 2 minutes.<br /><br />To find the average velocity, we can use the formula:<br />Average Velocity = (Final Velocity + Initial Velocity) / 2<br /><br />Substituting the given values:<br />Average Velocity = (401111 + 201111) / 2<br />Average Velocity = 602111 m/s<br /><br />Therefore, the average velocity of the object over the 2-minute period is 602111 m/s.<br /><br />b. Displacement of the Object in 2 Minutes:<br />The displacement of an object is the change in its position over a given time period. In this case, the object increases its velocity uniformly from 201111 to 401111 in 2 minutes.<br /><br />To find the displacement, we can use the formula:<br />Displacement = (Initial Velocity * Time) + (1/2 * Acceleration * Time^2)<br /><br />Since the acceleration is uniform, we can calculate it using the formula:<br />Acceleration = (Final Velocity - Initial Velocity) / Time<br /><br />Substituting the given values:<br />Acceleration = (401111 - 201111) / 2<br />Acceleration = 200000 m/s^2<br /><br />Now, we can calculate the displacement:<br />Displacement = (201111 * 2) + (1/2 * 200000 * 2^2)<br />Displacement = 402222 m<br /><br />Therefore, the displacement of the object in 2 minutes is 402222 m.
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