Can instantaneous acceleration be equal to average acceleration?

Average acceleration is equal to the velocity of an object at some final time minus the velocity of that same object at an initial time all divided by that time interval, 𝑡 final minus 𝑡 initial. Instantaneous acceleration is equal to the time derivative of velocity, 𝑑𝑣 𝑑𝑡. These two equations are connected.

How do you determine the instantaneously velocity of an accelerating object?

The instantaneous velocity of an object is the limit of the average velocity as the elapsed time approaches zero, or the derivative of x with respect to t: v(t)=ddtx(t). v ( t ) = d d t x ( t ) . Like average velocity, instantaneous velocity is a vector with dimension of length per time.

How is instantaneous acceleration different from average acceleration?

Average acceleration is the notified change in velocity for the whole journey. Whereas the instantaneous acceleration is the acceleration due motion of the moving body at every instant. If the body is moving along a variable force field would feel different instantaneous acceleration with a different average one.

What do you mean by instantaneous acceleration?

The acceleration of the object at different instant of time or at given time of motion, is called instantaneous acceleration.

What is instantaneous acceleration?

Instantaneous acceleration a, or acceleration at a specific instant in time, is obtained using the same process discussed for instantaneous velocity.

Which of the following is correct expression for instantaneous acceleration?

Correct option b a = dv/dt Express instantaneous acceleration of a particle for a non-uniform accelerated motion mathematically.

Why instantaneous velocity is equal to instantaneous speed?

The direction of instantaneous velocity at any time gives the direction of motion of a particle at that point in time. The magnitude of instantaneous velocity equals the instantaneous speed. This happens because, for an infinitesimally small time interval, the motion of a particle can be approximated to be uniform.