If the velocity of a particle is increasing at a constant rate its mean and inst
ID: 1704891 • Letter: I
Question
If the velocity of a particle is increasing at a constant rate its mean and instantaneous acceleration are not the same.The tangent at a point on the displacement time curve is the instantaneous velocity.
Acceleration under gravity is an example of constant acceleration for distances small compared the radius of the Earth.
Knowing the position and velocity of a particle allows its future position to be predicted if its acceleration is constant and known.
Instaneous acceleration is the derivative of the velocity time function.
Explanation / Answer
1) False given a particle is increasing at a constant rate it means that the acceleration is constant. Therefore average and instantenous acceleration should be the same 2) True, because the slope is velocity 3) True as long as the distsnce is small compared to the radius of the Earth 4) True, nothing in the statement that is false 5) True, the derivative is the slope of the tangent at any point in a graph