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The motion of a particle along a straight line is described by equation :X = 8t 12t -t3 where X is in metre and t is in second. The retardation of the particle when it's velocity becomes zero is?                         
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FAQs on Motion in straight line - Class 11

1. What is motion in a straight line?
Ans. Motion in a straight line refers to the movement of an object along a single path without any change in direction. It can be either uniform, where the object covers equal distances in equal intervals of time, or non-uniform, where the object covers unequal distances in equal intervals of time.
2. How is the velocity of an object calculated in motion in a straight line?
Ans. The velocity of an object in motion in a straight line is calculated by dividing the change in displacement by the time taken. The formula for velocity is v = (x - x0) / t, where v is the velocity, x is the final displacement, x0 is the initial displacement, and t is the time taken.
3. What is the difference between speed and velocity in motion in a straight line?
Ans. Speed and velocity are both measures of how fast an object is moving, but they have a fundamental difference. Speed is a scalar quantity that only considers the magnitude of motion, while velocity is a vector quantity that takes into account both the magnitude and direction of motion. In motion in a straight line, speed refers to the distance covered per unit time, while velocity refers to the displacement covered per unit time in a specific direction.
4. What is the equation of motion for an object in motion in a straight line?
Ans. The equation of motion for an object in motion in a straight line is given by the equation x = x0 + v0t + (1/2)at^2, where x is the final displacement, x0 is the initial displacement, v0 is the initial velocity, t is the time taken, and a is the acceleration. This equation is derived from the basic kinematic equations.
5. How does acceleration affect the motion of an object in a straight line?
Ans. Acceleration determines how quickly an object's velocity changes over time. In motion in a straight line, if the acceleration is positive, the object's velocity increases, resulting in a speeding up motion. Conversely, if the acceleration is negative, the object's velocity decreases, leading to a slowing down motion. The magnitude of acceleration also affects the rate at which the velocity changes.
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