- 23-May-2022

**Types of Acceleration**

- Acceleration. Rate of change of velocity is called acceleration.
- Unit of acceleration = m/s
^{2}or ms^{–}^{2} - Types of acceleration.
- Uniform & Non Uniform Acceleration.
- Uniform Acceleration.
- Non uniform acceleration.
- Instantaneous Acceleration.
- Acceleration is determined by the slope of time-velocity graph.

Explanation: Maximum shear stress occurs at neutral axis & y = 0. **Max.** **Shear stress = 4/3 **. F/A is average shear stress.

The slope of a velocity graph represents **the acceleration of the object**. So, the value of the slope at a particular time represents the acceleration of the object at that instant.

**A change in direction constitutes a velocity change and therefore an acceleration**.

Now if v0 to v be interval when velocity is zero, **k=0** implying acceleration is zero (kt=0).

At a projectile's highest point, its velocity is zero. At a projectile's highest point, its acceleration is **zero**.

**T = 2 g **

That **determines how fast the distance is changing**. If someone is moving away from you at 1 meter per second, the distance away from you changes by one meter every second. If the velocity is constant, then the second derivative will be zero. Zero acceleration means that the velocity is not changing.

The rotary motion includes **the physical motion of a certain object which is spinning on an axis of its own**. Rotary motion is analyzed in a similar way as linear motion.

In rectilinear motion all particles of the body travel the same distance along parallel straight lines. In curvilinear motion the trajectories of individual particles of the body are curved, although the orientation of the body in space does not change.

The SI unit of acceleration is the **metre per second squared** (m s^{−}^{2}); or "metre per second per second", as the velocity in metres per second changes by the acceleration value, every second.

jerk

Since the body describes circular motion, its **distance from the axis of rotation** remains constant at all times. Though the body's speed is constant, its velocity is not constant: velocity, a vector quantity, depends on both the body's speed and its direction of travel.

**Gravity is measured by the acceleration that it gives to freely falling objects**. At Earth's surface the acceleration of gravity is about 9.8 metres (32 feet) per second per second. Thus, for every second an object is in free fall, its speed increases by about 9.8 metres per second.

A net force on an object changes its motion – **the greater the net force, the greater the acceleration**. More massive objects require bigger net forces to accelerate the same amount as less massive objects.

Acceleration is the time rate at which a velocity is changing. **Because velocity has both magnitude and direction**, it is called a vector quantity; acceleration is also a vector quantity and must account for changes in both the magnitude and direction of a velocity.

Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation **a = Δv/Δt**. This allows you to measure how fast velocity changes in meters per second squared (m/s^2).

The three types of acceleration are 1) **Change in velocity** 2) Change in direction 3) Both change in velocity and direction .

Acceleration is a vector quantity that is defined as the rate at which an object **changes its velocity**. An object is accelerating if it is changing its velocity.

All you need to know is that speed is expressed in feet per second (imperial/US system) or in meters per second (SI system) and time in seconds. Therefore, if you **divide speed by time** (as we do in the first acceleration formula), you'll get acceleration unit ft/s² or m/s² depending on which system you use.

The SI unit of linear momentum is **kg m/s**.

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