With a calculus background we don't even need this formula. This formula is often substituted into the x x 0 + v t formula in order to derive the x x 0 + v 0 t + 1 / 2 a t 2 formula we are so familiar with. If the positions of the initial and final points are known, then the distance relationship can be used to find the displacement. v v + v 0 2 in physics textbooks, to describe the average velocity for an object moving with constant acceleration. For general cases involving non-constant acceleration, this definition must be applied directly because the straight line average velocity expressions do not work. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time. If the beginning and ending velocities for this motion are known, and the acceleration is constant, the average velocity can also be expressed asįor this special case, these expressions give the same result.Īverage Velocity, General The average speed of an object is defined as the distance traveled divided by the time elapsed. For the special case of straight line motion in the x direction, the average velocity takes the form:
AVERAGE VELOCITY FORMULA CALCULUS DRIVER
Example 6 : A truck driver drives 20 km down the road in 5 minutes. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time. Average Velocity : Displacement / Time elapsed (150 - 40)/(1 + 4) 110/5 22 m/s. Such a limiting process is called a derivative and the instantaneous velocity can be defined as Average velocity, straight line motionĪverage Velocity, Straight Line The average speed of an object is defined as the distance traveled divided by the time elapsed. You can approach an expression for the instantaneous velocity at any point on the path by taking the limit as the time interval gets smaller and smaller. The units for velocity can be implied from the definition to be meters/second or in general any distance unit over any time unit.
The average speed of an object is defined as the distance traveled divided by the time elapsed.
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