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Rectilinear Kinematics: Constructing s–t and a–t Graphs from a Triangular v–t Graph

Name: Rectilinear Kinematics: Constructing s–t and a–t Graphs from a Triangular v–t Graph
Uploaded: 2026-07-20T22:04:56.047Z

Engineering Mechanics Dynamics · Engineering Mechanics- Dynamics

Course: Engineering Mechanics Dynamics Book: Engineering Mechanics- Dynamics

Question

A particle moves through an electric field between two plates. Its velocity–time graph is a symmetric triangle: $t' = 0.2\text{ s}$ and $v_{\max} = 10\text{ m/s}$. Velocity increases linearly from $0$ to $v_{\max}$ over $0 \le t \le t'/2$, then decreases linearly from $v_{\max}$ back to $0$ over $t'/2 \le t \le t'$. At $t = t'/2 = 0.1\text{ s}$, the particle is at $s = 0.5\text{ m}$. Draw the $s$–$t$ and $a$–$t$ graphs for the particle.

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Rectilinear Kinematics: Constructing s–t and a–t Graphs from a Triangular v–t Graph

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