The variable obtained by dividing the acceleration by time is called "jerk".
Certainly. If acceleration isn't a constant, then it can be differentiated with respect to time, and what you have is simply the third derivative of position. We're not aware of any particular name that's been attached to that quantity. One reference is that change in acceleration is called surge.
To find the instantaneous acceleration at t = 45.0s, you need to differentiate the velocity function with respect to time. The acceleration at t = 45.0s is the derivative of the velocity function at that time. Apply the derivative to the velocity function to find the acceleration at t = 45.0s.
If your acceleration is increasing then by default your velocity has to increase. Acceleration = velocity/time so if acceleration is increasing the velocity is also increasing... And just for fun, just as the change in distance is velocity, and change in velocity is acceleration with respect to time, the change in acceleration with respect to Time is called a jerk
acceleration is the rate of change of velocity with respect to time.
differentiate with respect to time.
acceleration of a body is the rate of change of velocity with respect to time.
If there is no acceleration or time given, it is not possible to calculate velocity. Velocity is defined as the rate of change of displacement with respect to time, so without either acceleration or time, there is not enough information to determine the velocity.
Definition: Acceleration is the rate of change of velocity as a function of time. It is vector. In calculus terms, acceleration is the second derivative of position with respect to time or, alternately, the first derivative of the velocity with respect to time.
Mathematically speaking, it is possible, since acceleration means an increase in velocity (or speed with respect to a point), for some time at least. However, the car must travel from a very slow speed for acceleration to be constant. Also, another method is for the car to not move at all. This is usually not accepted by acceleration but by definition of velocity and acceleration, it is considered constant zero acceleration. Velocity is the rate and direction of the change in the position of an object. Acceleration is the rate of change of velocity with respect to time. By definition, velocity = 0, acceleration = 0.
velocity is the rate of change of displacement with respect to time where as acceleration is the rate of change of velocity with respect o tome.
Acceleration and velocity are both related to the motion of an object. Velocity is the rate of change of an object's position with respect to time, while acceleration is the rate of change of an object's velocity with respect to time. In other words, acceleration is the derivative of velocity with respect to time.
Acceleration is the rate of change of velocity with respect to time. It can be either an increase or a decrease in speed or a change in direction. Mathematically, acceleration is defined as the derivative of velocity with respect to time.