Statement 1 For a body thrown vertically up from the ground,...

Statement 1 For a body thrown vertically up from the ground, the distance covered in the first second is equal to the distance covered in the last second only if the initial velocity is greater than $10 \mathrm{~m} \mathrm{~s}^{-1}\left(\mathrm{~g}=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$. and Statement 2 For the upward and downward journeys to take more than one second, the initial speed has to be greater than $10 \mathrm{~m} \mathrm{~s}^{-1}$.

Statement 1 For a body thrown vertically up from the ground, the distance covered in the first second is equal to the distance covered in the last second only if the initial velocity is greater than $10 \mathrm{~m} \mathrm{~s}^{-1}\left(\mathrm{~g}=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$.
and
Statement 2 For the upward and downward journeys to take more than one second, the initial speed has to be greater than $10 \mathrm{~m} \mathrm{~s}^{-1}$.

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Key Concepts

Vertical Projectile Motion

Vertical projectile motion refers to the motion of an object thrown upward or downward with a constant acceleration due to gravity. This type of motion is characterized by a rise to a maximum height followed by a descent, and it often involves analyzing the symmetry between the upward and downward journeys under ideal conditions.

Displacement Analysis in Specific Time Intervals

This involves breaking down the motion into segments, such as specific seconds of flight, to compare distances covered during these intervals. By applying the kinematic equations to individual time segments, one can determine conditions on the initial velocity or other parameters necessary for certain relationships between these distances to hold.

Uniformly Accelerated Motion

This concept involves motion with a constant acceleration, such as that produced by gravity near the Earth's surface. The basic kinematic equations, like s = ut + 1/2at² and v = u + at, are used to analyze displacement, velocity, and time in such scenarios.

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