A car traveling in a straight line has a constant acceleration of 3 m/s2. Based on this information, which of the following statements below is correct?Multiple select question.Every second the car will have a speed of 3 m/s.The car will change its speed by 1 m/s in a third of a second.Every second the car will change its speed by 3 m/s.For the first second the car will change its speed by 3 m/s, but we don't know what will happen after that.The car will change its velocity by 6 m/s after 2 seconds.
Question
A car traveling in a straight line has a constant acceleration of 3 m/s2. Based on this information, which of the following statements below is correct?Multiple select question.Every second the car will have a speed of 3 m/s.The car will change its speed by 1 m/s in a third of a second.Every second the car will change its speed by 3 m/s.For the first second the car will change its speed by 3 m/s, but we don't know what will happen after that.The car will change its velocity by 6 m/s after 2 seconds.
Solution
The correct statements are:
- Every second the car will change its speed by 3 m/s.
- For the first second the car will change its speed by 3 m/s, but we don't know what will happen after that.
- The car will change its velocity by 6 m/s after 2 seconds.
Explanation:
Acceleration is the rate of change of velocity per unit of time. In this case, the car has a constant acceleration of 3 m/s^2. This means that every second, the car's speed increases by 3 m/s. So, the first and third statements are correct.
The second statement is incorrect because with an acceleration of 3 m/s^2, the car will change its speed by 1 m/s in a third of a second.
The fourth statement is partially correct. The car will indeed change its speed by 3 m/s in the first second, but because the acceleration is constant, we do know that it will continue to increase its speed by 3 m/s every second after that.
The fifth statement is correct because after 2 seconds, with a constant acceleration of 3 m/s^2, the car will have increased its speed by 6 m/s.
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