I don't know if my answers are right. D:
1)Why is a time interval always positive?
I'm not really sure but I wrote down something with vectors and scalars.
2)If the average acceleration of a car is zero in a given time interval, what can you tell about the displacement of the car for that interval?
The displacement is also zero when the average acceleration is zero because the car will not be moving without any acceleration to move forward or backwards in that time interval.
time interval positive? Time interval is an absolute magitude,by convention.
displacement= velocity*timeinterval
You are wrong. When acceleration is zero, the car is at constant velocity.
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1) To understand why a time interval is always positive, let's consider the concept of time itself. Time is defined as the progression of events from the past to the present and into the future. A time interval represents the duration between two specific points in time.
The fundamental nature of time is that it moves forward in a linear fashion. There are no instances where time moves in reverse or loops back on itself. Therefore, any time interval, regardless of its duration, is always measured in a positive manner.
In terms of vectors and scalars, time itself is considered a scalar quantity, which means it has only magnitude and no direction. Scalars are usually positive or zero (in the case of instantaneous events). However, when dealing with time intervals, we are primarily concerned with their duration in a positive sense, as there is no concept of a negative or reverse time interval.
2) If the average acceleration of a car is zero over a given time interval, it means that the car's velocity is not changing during that specific period. Acceleration is defined as the rate of change of velocity, so a zero average acceleration implies that there is no change in velocity.
In simple terms, if a car is not accelerating, it maintains a constant speed throughout the interval. As a result, the car's displacement would be zero because displacement measures the change in position from one point to another. Without any change in velocity, the car neither moves forward nor backward, leading to zero displacement during that time interval.