Can You Verify These True/False Statements About 1D Motion?

[bbkid555]

All are true false but need help on all of them thanks in advance

1)Knowing the position and velocity of a particle allows its future position to be predicted even if its acceleration is unknown.
2)Instaneous velocity is the derivative of the displacement time function.
3)If the displacement of a particle is decreasing at a constant rate its acceleration is constant.
4)For problems involving constant acceleration the mean and instantaneous velocity are the same.
5)The slope of the velocity time graph is the instantaneous acceleration.

 

[Pengwuino]

You'll need to give some insight and your work/thoughts for each question and then we can help you out.

 

[rootX]

Some hints to help you out:

1)Knowing the position and velocity of a particle allows its future position to be predicted even if its acceleration is unknown.

What's the relationship between distance or position, velocity, and acceleration? From three laws of motions

2)Instantaneous velocity is the derivative of the displacement time function.

Define Instantaneous velocity

3)If the displacement of a particle is decreasing at a constant rate its acceleration is constant.

Same as #1, what's the relationship between acceleration and displacement?

4)For problems involving constant acceleration the mean and instantaneous velocity are the same.

How the v graph looks with say a = 2

5)The slope of the velocity time graph is the instantaneous acceleration.

Define accelerationP.S. This is not an Advanced Physics question btw.