The equation of linear motion, also known as the kinematic equation, describes the motion of an object in terms of its velocity, acceleration, time, and displacement. There are several different kinematic equations, but one of the most commonly used forms is:
1. v = u+at
Where:
- v is the final velocity of the object
- u is the initial velocity of the object
- a is the acceleration of the object
- t is the time interval during which the object undergoes acceleration
Another common form of the kinematic equation is:
- s = ut + 1/2 at^2
This equation relates the displacement or distance (s) traveled by an object to its initial velocity (u), acceleration (a), and the time (t) elapsed during the motion.
- v^2 = u^2 + 2as
This equation relates the final velocity (v) of an object to its initial velocity (u), acceleration (a), and the displacement or distance (s) traveled during the motion.
- s = 1/2 (u + v) t
This equation relates the displacement or distance (s) traveled by an object to its initial velocity (u), final velocity (v), and the time (t) elapsed during the motion.
These equations can be used to solve problems involving the motion of an object in a straight line, given the appropriate values of the variables involved.
FAQ’s
1. What is the formula for linear motion?
The formula for linear motion, also known as the kinematic equations, describe the motion of an object in terms of its velocity, acceleration, time, and displacement. There are four main kinematic equations that relate these variables:
- v = u + at
This equation relates the final velocity (v) of an object to its initial velocity (u), acceleration (a), and the time (t) elapsed during the motion
2. What are the 4 formulas of motion?
The four formulas of motion are also known as the kinematic equations. These equations describe the motion of an object in terms of its velocity, acceleration, time, and displacement. The four kinematic equations are:
- v = u + at: This equation relates the final velocity (v) of an object to its initial velocity (u), acceleration (a), and the time (t) elapsed during the motion.
- s = ut + 1/2 at^2: This equation relates the displacement or distance (s) traveled by an object to its initial velocity (u), acceleration (a), and the time (t) elapsed during the motion.
- v^2 = u^2 + 2as: This equation relates the final velocity (v) of an object to its initial velocity (u), acceleration (a), and the displacement or distance (s) traveled during the motion.
- s = 1/2 (u + v) t: This equation relates the displacement or distance (s) traveled by an object to its initial velocity (u), final velocity (v), and the time (t) elapsed during the motion.
These formulas can be used to solve problems involving the motion of an object in a straight line, given the appropriate information about the motion.
3. What is the law of Linear Motion?
The law of linear motion, also known as Newton’s first law of motion or the law of inertia, states that an object at rest tends to stay at rest, and an object in motion tends to stay in motion with a constant velocity in a straight line, unless acted upon by an external force.
This means that if an object is at rest, it will not move unless something causes it to move. If an object is already in motion, it will continue to move at a constant velocity (speed and direction) unless acted upon by an external force, such as friction or a collision with another object.
This law is important because it provides the foundation for understanding the behavior of objects in motion, and it helps to explain why objects move or don’t move. It also provides a basis for the development of other laws of motion, such as Newton’s second and third laws, which describe the relationship between force, mass, and acceleration.
4. What is linear motion in velocity?
Linear motion in velocity refers to the motion of an object moving in a straight line at a constant speed or changing speed in a straight line. Velocity is a vector quantity that describes the rate at which an object changes its position. It has both a magnitude (speed) and a direction, and is typically measured in meters per second (m/s) or other distance units per unit time.
When an object moves in a straight line at a constant speed, its velocity is also constant and has a constant magnitude and direction. For example, if a car travels at a speed of 50 km/h in a straight line, its velocity is also 50 km/h and points in the direction of the car’s motion.
However, if the object’s speed changes, its velocity also changes, and the object undergoes acceleration. Acceleration is the rate of change of velocity and is also a vector quantity. In linear motion, acceleration can be caused by a change in speed, a change in direction, or both. When an object undergoes acceleration, its velocity changes in magnitude or direction, or both.
5. What is the SI unit of linear motion?
The SI unit of linear motion is the meter per second (m/s). This unit represents the rate of change of distance traveled by an object per unit of time. In other words, it measures the speed or velocity of an object in linear motion.
The meter per second is defined as the distance traveled in meters divided by the time taken in seconds. For example, if an object travels a distance of 10 meters in 5 seconds, its speed or velocity is 2 meters per second (m/s).
Other commonly used units for linear motion include kilometers per hour (km/h) and miles per hour (mph), which are used for measuring the speed of vehicles such as cars or airplanes. However, in scientific or technical contexts, the SI unit of meter per second is preferred due to its consistency with other SI units and its ease of use in calculations.
6. What is the formula for linear speed?
The formula for linear speed is:
Linear speed = Distance traveled / Time taken
This formula expresses the relationship between the distance an object travels and the time it takes to travel that distance, and provides a way to calculate the speed of an object moving in a straight line.
Linear speed is a scalar quantity that describes how fast an object is moving in a straight line, without any regard for the direction of motion. It is typically measured in meters per second (m/s) or other distance units per unit time.
It’s important to note that linear speed is different from angular speed, which measures the rate of rotation of an object around an axis. Linear speed can be converted to angular speed (or vice versa) by dividing or multiplying by the radius of the circle that the object is moving around, depending on the context of the problem.
