From the front door to his current position, Aaron's Distance is 4m. and his Displacement is 4m.
Distance is a measure of how far apart two objects or locations are using numbers. The distance can refer to a physical length in physics or to an estimate based on other factors in common usage. Sometimes, the symbol |AB| is used to represent the distance between two points.
A displacement is a vector in geometry and mechanics that have a length equal to the shortest distance between a point P's initial and final positions.
Length of path = 4m
Distance is the length of the path and it has magnitude but no direction. The distance covered is 4m Displacement is the length of the path and it has magnitude and direction. Displacement is 4m towards the mailbox.
An object thrown in an upward direction does not fall the same distance in each time interval as it descends toward Earth:
because it is accelerating
An object thrown in an upward direction is acted upon one force only: the force of gravity, which pulls the object downward (here we are assuming air resistance is negligible).
As a result, the motion of the object is a free fall motion, which is a uniformly accelerated motion with constant acceleration downward.
Therefore, the distance covered by the object in a time t is given by the suvat equation
where u is the initial velocity.
We can check that the distance covered in one second changes as the object descends. Assuming that the initial velocity is zero, u = 0 (this assumption is irrelevant, because the term is linear in t), we have:
- Displacement after 1 second:
- Displacement after 2 seconds:
So, the distance covered in the 1st second is 4.9 m, while the distance covered in the 2nd second is
Therefore, we see that the distance covered increases every second, because the object is accelerating.