if the acceleration of a truck over a given time interval is zero, how does the instaneous velocity of that truck at any instant during that interval compare to its average velocity over the interval?
They are equal.
To understand the relationship between instantaneous velocity and average velocity when the acceleration is zero, let's break it down step by step.
Acceleration is the rate at which velocity changes with time. When the acceleration of a truck is zero, it means that the velocity of the truck is not changing during that time interval.
Average velocity, on the other hand, is the displacement divided by the time taken. It gives you an overall measure of how fast an object is moving in a specific direction over a certain time interval.
Now, if the acceleration is zero, it implies that the velocity of the truck is constant throughout that interval. In such a case, the instantaneous velocity at any instant during that interval will be equal to the average velocity over the entire interval because there is no change in velocity.
To summarize, if the acceleration of a truck over a given time interval is zero, the instantaneous velocity at any instant during that interval will be the same as the average velocity over the interval because the velocity is constant.