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Explain Bot The quantity you get from multiplying velocity (v) by time interval (Δt) is displacement (Δx).
To understand why this is the case, let's break it down:
Velocity (v) is a measure of how fast an object is moving in a specific direction. It is typically expressed in units of distance per unit of time, such as meters per second (m/s) or kilometers per hour (km/h).
Time interval (Δt) represents the duration of time over which the velocity is measured. It can be any period of time, such as seconds, minutes, or hours.
When you multiply velocity by time, you get the distance traveled during that time interval. This can be explained using the formula for average velocity:
Average velocity (v_avg) = Δx/Δt
Rearranging the formula, we have:
Δx = v_avg * Δt
Now, if the velocity remains constant during the entire time interval (which is often a simplified assumption in physics problems), the average velocity is equal to the instantaneous velocity at any point within that interval. Hence, we can use v instead of v_avg.
Thus, by substituting v for v_avg in the equation, we get:
Δx = v * Δt
Therefore, multiplying velocity by time interval gives us the displacement (Δx), which represents the overall change in position or distance traveled by an object during the given time interval.