what is the relationship of distance and acceleration?

Answer 1

The formula for distance traveled under constant acceleration a is s=.5*a*t^2. The general formula is a(t) = d^2 x(t) /dt^2, acceleration is the second derivative of position (distance) with respect to time.

Answer 2

Acceleration is the time rate of change of velocity, and distance is the time rate of change of velocity.

In deriviatve equation form acceleration is defined as follows:

dv/dt = a

Integrating we get:

v = at + c where c is a constant and represents the initial velocity.

Now distance s = the integral of velocity with respect ot time

ds/dt = at + c

Integrating s = ct +(-) 1/2at^2 which is the equation for distance where c is the intial velocity. The +- means the accelleration can be in any direction, forward backward, up or down

Answer 3

distance divided by time twice is acceleration. The acceleration is the double integral of position. The position is the double derivative of the acceleration.

Answer 4

the more you accelerate, the more distance you cover in a quicker amount of time.