Motion with Constant Acceleration in
Physics (Constant Acceleration
Equations, Velocity, Position,
Acceleration)& 8 Problem Solution!
01 - Motion with Constant Acceleration in Physics
(Constant Acceleration Equations)
What is One-dimensional Motion with
Constant Acceleration?
we will discuss one-dimensional motion with a constant acceleration. This
type of motion involves a change in velocity at a constant rate, without
any changes in acceleration. Unlike uniform motion, which has a constant
velocity, this type of motion is more complex and interesting.
Understanding Constant Acceleration
When we talk about constant acceleration, we mean that the rate of
acceleration remains the same throughout the motion. In real life,
acceleration is always changing as we speed up and slow down. However,
in problems involving constant acceleration, the acceleration value remains
constant. For example, the acceleration could be set at 1.5 meters per
second squared or -3 meters per second squared. This means that the
velocity is constantly increasing at a known rate, without any changes in
the rate of increase.
, An Intuitive Example
Let's consider a quick example to better understand how constant
acceleration works. Suppose we have an object with an initial velocity of
10 meters per second and a constant acceleration of 3 meters per second
squared. As time progresses, we can observe how the velocity changes. At
t = 0, the velocity is 10 meters per second. After 1 second, the velocity
increases by 3 meters per second to reach 13 meters per second. After 2
seconds, it increases by another 3 meters per second to reach 16 meters
per second. This pattern continues, with the velocity increasing by 3
meters per second every second.
Velocity vs. Time Graph
If we plot the data on a velocity vs. time graph, we will notice that the
graph forms a straight line. This is because the velocity increases at a
constant rate. While the exact points on the graph may not be perfectly
aligned due to the limitations of drawing by hand, the overall t rend is a
straight line. This graph helps us to visualize how the velocity changes
over time when there is constant acceleration.
The significance of the slope of the velocity curve in a time graph is that it
represents the acceleration. The slope of a straight-line velocity curve
remains constant throughout. The slope can be calculated using the
formula Δv/Δt, where Δv is the change in velocity and Δt is the change in
the time between two points. For example, if we take the final velocity as
13 m/s and the initial velocity as 10 m/s, and the final time as 10 seconds,
the slope would be (13-10)/(10-0) = 3 m/s^2. This means that the
acceleration is 3 m/s^2.
Constant acceleration results in a straight-line velocity graph. The slope of
this line represents the acceleration and remains constant throughout. The
acceleration can be represented as a constant horizontal line in an
acceleration graph.
From this, we can deduce that the equation for acceleration is simply a
constant value. The equation for the velocity as a function of time is
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