This is because speed is defined as the absolute value of velocity - irrespective of the direction of motion.
no
Velocity is a vector, which means it has a direction, but speed isn't. Speed is the absolute value of velocity. Velocity can be negative, meaning that the speed is opposite to the direction that you're calling the positive direction.
If s is the displacement vector of an object at time t, thenvelocity = ds/dt, the derivative of s with respect to tand speed = |ds/dt|, the absolute value of the velocity.
An absolute value can not be negative.
It's not. Unless you add a direction to speed it will not become velocity. Since positive and negative are sometimes used to denote direction, absolute value of velocity may equal speed (certain situations)
This is because speed is defined as the absolute value of velocity - irrespective of the direction of motion.
No, the absolute value of speed does not equal velocity. Speed is a scalar quantity that represents the rate at which an object is moving, while velocity is a vector quantity that includes both speed and direction. The absolute value of velocity is the speed of the object.
It's a scrambled equation. What you meant to say is, "The absolute value of velocity equals speed."
Velocity is a vector and its magnitude depends on the direction. If it is positive in one direction, going in the opposite direction it is negative. But speed is a scalar and does not depend on the direction. It has the same value, whatever the direction. That is how the absolute value of velocity is speed.
For the instantaneous value of average velocity, average speed and average velocity are equal.
no
Velocity is a vector, which means it has a direction, but speed isn't. Speed is the absolute value of velocity. Velocity can be negative, meaning that the speed is opposite to the direction that you're calling the positive direction.
Speed is the absolute value of velocity, meaning it does not take into account the direction of motion. Velocity, on the other hand, includes both the speed and the direction of the body's motion.
Speed and velocity always have the same magnitude, becausespeed is the magnitude of velocity.The difference is that velocity has a direction but speed doesn't
If s is the displacement vector of an object at time t, thenvelocity = ds/dt, the derivative of s with respect to tand speed = |ds/dt|, the absolute value of the velocity.
mph or 'miles per hour' is a unit and can equal any value of speed or velocity.