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Important Kinematics Formulas for JEE and NEET

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1. What is the equation of motion for an object moving in a straight line with constant acceleration?
Ans. The equation of motion for an object moving in a straight line with constant acceleration is given by: \[ v = u + at \] \[ s = ut + \frac{1}{2}at^2 \] \[ v^2 = u^2 + 2as \] where: \( v \) = final velocity \( u \) = initial velocity \( a \) = acceleration \( t \) = time \( s \) = displacement
2. How do you calculate the displacement of an object moving in a straight line with constant acceleration?
Ans. The displacement of an object moving in a straight line with constant acceleration can be calculated using the equation: \[ s = ut + \frac{1}{2}at^2 \] where: \( s \) = displacement \( u \) = initial velocity \( a \) = acceleration \( t \) = time
3. What is the difference between velocity and speed in the context of motion in a straight line?
Ans. Velocity is a vector quantity that includes both the speed of an object and its direction of motion, while speed is a scalar quantity that only represents the rate at which an object is moving. In the context of motion in a straight line, velocity includes information about the object's speed as well as whether it is moving in the positive or negative direction.
4. How does the acceleration of an object affect its motion in a straight line?
Ans. The acceleration of an object determines how quickly its velocity changes over time. If an object has positive acceleration, it is speeding up in the positive direction. If it has negative acceleration (deceleration), it is slowing down in the positive direction. The magnitude of the acceleration also affects how quickly the object's velocity changes.
5. Can an object moving in a straight line have zero velocity but non-zero acceleration?
Ans. Yes, an object moving in a straight line can have zero velocity but non-zero acceleration. This occurs when the object changes direction but maintains a constant speed. In this case, the object's velocity is zero at the moment it changes direction, but it still has acceleration due to the change in velocity.
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