Understanding Instantaneous Acceleration and Velocity in Physics

In summary, instantaneous acceleration is the rate of change of an object's velocity at a specific moment in time. It differs from average acceleration as it is measured at a single point, while average acceleration is calculated over a longer period. To calculate instantaneous acceleration, the derivative of an object's velocity with respect to time is taken. The SI unit for instantaneous acceleration is meters per second squared (m/s^2). This measure can be affected by external forces such as gravity and friction, as well as the object's mass, shape, and changes in velocity or direction.
  • #1
kurosaki69
22
0

Homework Statement



can some explain it to me, how to solve?
also can how to find instantaneous velocity?

Homework Equations


The Attempt at a Solution

 
Last edited:
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  • #2
instantaneous acceleration is the acceleration at a given instant of time. If an object moves at constant acceleration, its instantaneous acceleration is the same for all instances of time.

to solve for it, take the derivative of velocity as a function of time. Then plugin the value of t, where t is the instant of time you want to find the acceleration for
 
  • #3
Wow, that's a pretty good answer to a question that doesn't exist!
 

1. What is instantaneous acceleration?

Instantaneous acceleration refers to the rate at which an object's velocity changes at a specific moment in time. It is a measure of how quickly an object's speed and direction are changing.

2. How is instantaneous acceleration different from average acceleration?

Instantaneous acceleration is measured at a specific point in time, while average acceleration is calculated over a longer period of time. Average acceleration takes into account the change in velocity over a certain distance, whereas instantaneous acceleration is a measure of the change in velocity at a single point.

3. How is instantaneous acceleration calculated?

Instantaneous acceleration is calculated by taking the derivative of an object's velocity with respect to time. This can be done using calculus, specifically the formula a = dv/dt, where a is acceleration, v is velocity, and t is time.

4. What is the SI unit for instantaneous acceleration?

The SI unit for instantaneous acceleration is meters per second squared (m/s^2).

5. What factors can affect instantaneous acceleration?

The factors that can affect instantaneous acceleration include external forces such as gravity or friction, as well as the mass and shape of the object. Additionally, changes in velocity or direction can also impact instantaneous acceleration.

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