MOTION UNDER CONSTANT ACCELERATION Constant Acceleration Constant acceleration
![MOTION UNDER CONSTANT ACCELERATION MOTION UNDER CONSTANT ACCELERATION](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-1.jpg)
![Constant Acceleration • Constant acceleration refers to motion where the speed increases by the Constant Acceleration • Constant acceleration refers to motion where the speed increases by the](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-2.jpg)
![Representation of constant acceleration Representation of constant acceleration](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-3.jpg)
![Is constant acceleration 0? • Zero acceleration means there is no change in velocity Is constant acceleration 0? • Zero acceleration means there is no change in velocity](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-4.jpg)
![Motion with constant acceleration • Motion with constant acceleration occurs in everyday life whenever Motion with constant acceleration • Motion with constant acceleration occurs in everyday life whenever](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-5.jpg)
![What is the equation for motion with constant acceleration? • What is the equation for motion with constant acceleration? •](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-6.jpg)
![What happens at constant acceleration? • An accelerating object will change its velocity by What happens at constant acceleration? • An accelerating object will change its velocity by](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-7.jpg)
![Kinematic equations for one-dimensional motion with constant acceleration • Let us consider one-dimensional motion Kinematic equations for one-dimensional motion with constant acceleration • Let us consider one-dimensional motion](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-8.jpg)
![Average velocity • The average velocity in a time interval ∆t therefore is just Average velocity • The average velocity in a time interval ∆t therefore is just](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-9.jpg)
![Displacement • The displacement is ∆x = vx(avg)∆t. We can rewrite this expression to Displacement • The displacement is ∆x = vx(avg)∆t. We can rewrite this expression to](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-10.jpg)
![Velocity as a function of the displacement • We can also express the velocity Velocity as a function of the displacement • We can also express the velocity](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-11.jpg)
- Slides: 11
![MOTION UNDER CONSTANT ACCELERATION MOTION UNDER CONSTANT ACCELERATION](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-1.jpg)
MOTION UNDER CONSTANT ACCELERATION
![Constant Acceleration Constant acceleration refers to motion where the speed increases by the Constant Acceleration • Constant acceleration refers to motion where the speed increases by the](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-2.jpg)
Constant Acceleration • Constant acceleration refers to motion where the speed increases by the same amount each second. • The most notable and important example is free fall. • When an object is thrown or dropped, it experiences a constant acceleration due to gravity, which has a constant value of approximately 10 meters per second squared.
![Representation of constant acceleration Representation of constant acceleration](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-3.jpg)
Representation of constant acceleration
![Is constant acceleration 0 Zero acceleration means there is no change in velocity Is constant acceleration 0? • Zero acceleration means there is no change in velocity](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-4.jpg)
Is constant acceleration 0? • Zero acceleration means there is no change in velocity i. e. body is moving with same velocity but constant acceleration means velocity of a body increases or decreases with same rate i. e. by same amount in same time. . so, zero acceleration and constant acceleration are not same…
![Motion with constant acceleration Motion with constant acceleration occurs in everyday life whenever Motion with constant acceleration • Motion with constant acceleration occurs in everyday life whenever](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-5.jpg)
Motion with constant acceleration • Motion with constant acceleration occurs in everyday life whenever an object is dropped: the object moves downward with the constant acceleration, under the influence of gravity.
![What is the equation for motion with constant acceleration What is the equation for motion with constant acceleration? •](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-6.jpg)
What is the equation for motion with constant acceleration? •
![What happens at constant acceleration An accelerating object will change its velocity by What happens at constant acceleration? • An accelerating object will change its velocity by](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-7.jpg)
What happens at constant acceleration? • An accelerating object will change its velocity by the same amount each second. This is referred to as a constant acceleration since the velocity is changing by a constant amount each second. An object with a constant acceleration should not be confused with an object with a constant velocity.
![Kinematic equations for onedimensional motion with constant acceleration Let us consider onedimensional motion Kinematic equations for one-dimensional motion with constant acceleration • Let us consider one-dimensional motion](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-8.jpg)
Kinematic equations for one-dimensional motion with constant acceleration • Let us consider one-dimensional motion in the x-direction. The average acceleration equals the instantaneous acceleration. • From ax = (vxf - vxi)/(tf - ti) • we obtain ax(tf - ti) = (vxf - vxi), • or vxf = vxi + ax∆t. • The velocity versus time graph is a straight line.
![Average velocity The average velocity in a time interval t therefore is just Average velocity • The average velocity in a time interval ∆t therefore is just](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-9.jpg)
Average velocity • The average velocity in a time interval ∆t therefore is just the sum of the final and the initial velocities divided by 2, vx(avg) = (vxf + vxi)/2.
![Displacement The displacement is x vxavgt We can rewrite this expression to Displacement • The displacement is ∆x = vx(avg)∆t. We can rewrite this expression to](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-10.jpg)
Displacement • The displacement is ∆x = vx(avg)∆t. We can rewrite this expression to obtain xf - xi = ½(vxf + vxi)∆t or xf - xi = vxi∆t + ½ax∆t 2.
![Velocity as a function of the displacement We can also express the velocity Velocity as a function of the displacement • We can also express the velocity](https://slidetodoc.com/presentation_image_h2/73a02f3b9565fc1af34d3a5d22d6cac2/image-11.jpg)
Velocity as a function of the displacement • We can also express the velocity as a function of the displacement. yields ∆x = ½(vxf + vxi)∆t = ½ (vxf + vxi)(vxf - vxi)/ax = (vxf 2 - vxi 2)/(2 ax) vxf 2 = vxi 2 + 2 ax(xf - xi). • The equations are the kinematic equations for motion in the xdirection with constant acceleration.
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