Position
Position in the uniformly accelerated motion depends on the initial position of the object x 0 , initial velocity of the objectv 0 , and the acceleration of the object a . Acceleration is the ratio of total velocity change taken over time interval. The displacement-time graph in the uniformly accelerated motion consists of a curved-line whose gradient (slope) is increasing in time.
The position of an object during uniformly accelerated motion can be described as:
x ( t ) = x 0 + v 0 t +
[ m ]
where:
x 0 - initial position of the object
v 0 - initial velocity of the object
a - acceleration of the object
t - time of the movement
where:
Velocity
Velocity in the uniformly accelerated motion depends on the initial velocity of the object v 0 , and the acceleration of the object a . The velocity-time graph in the uniformly accelerated motion consists of a straight-line whose gradient (slope) is increasing in time.
The velocity of an object during uniformly accelerated motion can be described as:
v ( t ) = v 0 + / − a t [
]
where:
v 0 - initial velocity of the object
a - acceleration the object
t - time of the movement
where:
a - acceleration the object
t - time of the movement
Acceleration
Acceleration is defined as the rate of change of velocity with respect to time, in a given direction. The SI units of acceleration are m /s 2 . It means that if an object has an acceleration of 1 m /s 2 it will increase its velocity (in a given direction) 1 m /s every second that it accelerates. The acceleration-time graph in the uniformly accelerated motion consists of a straight-line whose no gradient (slope) is increasing in time.
The average acceleration of an object during uniformly accelerated motion can be described as:
a Å› r ( t ) =
[
]
where:
v ( t ) - final velocity at moment t
v 0 -initial velocity
t - time of the movement
t 0 - initial time
The instantaneous acceleration can be found by differentiating position with respect to time twice or differentiating velocity with respect to time once:
a ( t ) =
=
(
) =
[
]
where:
The instantaneous acceleration can be found by differentiating position with respect to time twice or differentiating velocity with respect to time once:
0 Comments
Please share your opinions and suggestions with us.