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Describe motion in a straight line.
Answer
419.4k+ views
Hint:Let us first understand about motion. The concept of motion is when an object changes its location over time. Displacement, distance, velocity, acceleration, speed, and time are all mathematical concepts used to describe motion.
Complete answer:
Linear motion is described as movement in a straight line. It is in a specific straight line, as the name implies, so it can be assumed that it only uses one dimension. Different types of linear motion:
-Uniform linear motion with constant velocity or zero acceleration.
-Non-Uniform linear motion with variable velocity or non-zero acceleration.
The most basic form of one-dimensional motion is linear motion. Unless and until an external force is applied to an object, Newton's first law of motion states that it will either be at rest or continue to travel in a straight line with a uniform velocity.
Uniform motion in a Straight line: Uniform motion occurs when a body moves in a straight line and covers the same amount of distance in the same amount of time. Example: If a car travels at \[60\] kilometres per hour, it can cover\[\;1\] kilometre per minute. In this sense, the acceleration of a car is uniform.
Non-uniform motion in straight line: When the velocity of a body varies by unequal quantities in equal periods of time, it is said to have a non-uniform motion. Example: A little boy kicks a football. Depending on the velocity exerted by the kid, it will cover \[4\] metres in the first attempt, \[6\]metres in the second attempt,\[\;9\] metres in the third attempt, and so on. Formulas:
\[v{\text{ }} = u{\text{ }} + {\text{ }}at \\
\Rightarrow s = ut + \frac{1}{2}a{t^2} \\
\Rightarrow {v^2}\; = {\text{ }}{u^2}\; + {\text{ }}2as \]
Here $v$= final velocity, $u$=initial velocity, $s$=displacement, $a$=acceleration and $t$=time.
Note:It is recommended that you should not confuse linear motion with general motion. While linear motion is a one-dimensional motion, it has magnitude and direction in general, i.e. an object's position and velocity are defined in vector quantities.
Complete answer:
Linear motion is described as movement in a straight line. It is in a specific straight line, as the name implies, so it can be assumed that it only uses one dimension. Different types of linear motion:
-Uniform linear motion with constant velocity or zero acceleration.
-Non-Uniform linear motion with variable velocity or non-zero acceleration.
The most basic form of one-dimensional motion is linear motion. Unless and until an external force is applied to an object, Newton's first law of motion states that it will either be at rest or continue to travel in a straight line with a uniform velocity.
Uniform motion in a Straight line: Uniform motion occurs when a body moves in a straight line and covers the same amount of distance in the same amount of time. Example: If a car travels at \[60\] kilometres per hour, it can cover\[\;1\] kilometre per minute. In this sense, the acceleration of a car is uniform.
Non-uniform motion in straight line: When the velocity of a body varies by unequal quantities in equal periods of time, it is said to have a non-uniform motion. Example: A little boy kicks a football. Depending on the velocity exerted by the kid, it will cover \[4\] metres in the first attempt, \[6\]metres in the second attempt,\[\;9\] metres in the third attempt, and so on. Formulas:
\[v{\text{ }} = u{\text{ }} + {\text{ }}at \\
\Rightarrow s = ut + \frac{1}{2}a{t^2} \\
\Rightarrow {v^2}\; = {\text{ }}{u^2}\; + {\text{ }}2as \]
Here $v$= final velocity, $u$=initial velocity, $s$=displacement, $a$=acceleration and $t$=time.
Note:It is recommended that you should not confuse linear motion with general motion. While linear motion is a one-dimensional motion, it has magnitude and direction in general, i.e. an object's position and velocity are defined in vector quantities.
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