Physics

Physics

Problem

A particle has an initial velocity of 1212 m s-1 and is brought to rest over a distance of 4545 m. Find the acceleration of the particle.
Intuitive explanation

This is a kinematic problem where you know the starting speed, final speed (zero), and distance traveled—but not time. The key insight is to use the kinematic equation that doesn't involve time: v2=u2+2asv^2 = u^2 + 2as. Rearrange to solve for aa, treating the particle's deceleration as a negative acceleration. This equation directly connects velocity, distance, and acceleration without needing the time interval.

Intuitive explanation

This is a kinematic problem where you know the starting speed, final speed (zero), and distance traveled—but not time. The key insight is to use the kinematic equation that doesn't involve time: v2=u2+2asv^2 = u^2 + 2as. Rearrange to solve for aa, treating the particle's deceleration as a negative acceleration. This equation directly connects velocity, distance, and acceleration without needing the time interval.

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