Acceleration
The gradient of a quantity is the greatest rate at which it changes as you move in different directions from where you are now. If the quantity has a negative gradient, that means that the quantity decreases in that direction. A great example of a negative gradient is the elevation of the land at a point on a road that has a hill on one side and a cliff on the other side. The greatest rate at which the elevation changes is in the direction off the edge of the cliff, and it's negative in that direction.
The rate of change is a measure of how much a quantity changes in relation to another quantity over a specific period of time. It is often expressed as a ratio or a fraction, indicating the change in one variable per unit change in another. In mathematics, it is commonly represented as the slope of a line on a graph. Essentially, it helps to quantify the speed or intensity of a change.
The rate of Change in acceleration.
The slope of a demand or supply curve represents the rate at which quantity changes in response to a change in price, while elasticity measures the responsiveness of quantity demanded or supplied to price changes. Specifically, elasticity quantifies how much quantity responds to a percentage change in price, and it can be derived from the slope of the curve. A steeper slope indicates lower elasticity (less responsiveness), while a flatter slope suggests higher elasticity (greater responsiveness). Thus, while slope provides a visual representation of the relationship, elasticity offers a numerical measure of that relationship.
True!
accelerationThe rate at which velocity changes is called "acceleration".
The name of the vector quantity that represents the rate at which velocity changes over time is acceleration.
Acceleration.
Acceleration is the word that represents the rate at which velocity changes with time. It is a vector quantity that can be caused by factors such as gravity or changes in the mass or velocity of an object.
Speed is the rate at which an object moves, while velocity is the rate at which an object changes its position. Acceleration, on the other hand, is the rate at which an object changes its velocity. Speed and velocity are scalar quantities, while acceleration is a vector quantity.
The rate of displacement of a body is called its velocity.
Velocity is the rate of change of the position of an objec
Changes.
The formula for velocity is velocity = distance/time. It measures the rate at which an object changes its position. Velocity is a vector quantity, meaning it has both magnitude and direction.
The rate at which an object changes its position with time is its velocity. Velocity is a vector quantity that includes both the speed and direction of movement.
'Velocity' means the rate at which position changes, and the direction in which it changes. 'Acceleration' means the rate at which velocity changes, and the direction in which it changes.
Instantaneous velocity refers to the velocity of an object at a specific moment in time. It is the rate at which an object's position changes with respect to time at a particular instant, and it is typically represented as a vector quantity with both magnitude and direction.