Motion in a Straight Line Class 11

Motion in a Straight Line Class 11 Kinematics Equations
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Motion in a straight line refers to the movement of an object along a path that can be represented by a straight line. It's a fundamental concept in physics and is often studied in the context of kinematics, which deals with the description of motion without considering its causes (forces).

Kinematic equations of accelerated motion are equations that describe the motion of an object experiencing acceleration. These equations are derived from the basic principles of kinematics and are useful for predicting various parameters of motion such as displacement, velocity, and acceleration over time.

The four main kinematic equations for motion in a straight line under constant acceleration are:

1. v = u + at: This equation relates the final velocity (v) of the object to its initial velocity (u), acceleration (a), and time (t). Here, u is the initial velocity, a is the constant acceleration, t is the time taken, and v is the final velocity.

2. s = ut + 1/2at^2: This equation relates the displacement (s) of the object to its initial velocity (u), acceleration (a), and time (t). Here, u is the initial velocity, a is the constant acceleration, t is the time taken, and s is the displacement.

3. v^2 = u^2 + 2as: This equation relates the final velocity (v) of the object to its initial velocity (u), acceleration (a), and displacement (s). Here, u is the initial velocity, a is the constant acceleration, s is the displacement, and v is the final velocity.

4. s = 1/(u + v)t: This equation relates the displacement (s) of the object to its initial velocity (u), final velocity (v), and time (t). Here, u is the initial velocity, v is the final velocity, t is the time taken, and s is the displacement.

These equations are applicable when the acceleration is constant. If acceleration is not constant, calculus-based methods are required to analyze the motion.

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