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PhysicsClassical Physics

Graph Velocity vs Time from the Position Function x(t) = 5t

Differentiate x(t)=5t to obtain v(t)=5 m/s, then draw separate position and velocity graphs with labeled axes and sample coordinates.

Question

The position of an object is x(t) = 5t m, with t measured in seconds. (a) Find its velocity function. (b) Draw both the position-versus-time and velocity-versus-time graphs.

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Evidence boundary

This solution follows OpenStax University Physics Volume 1, Chapter 3, Problem 34, including both graphing tasks. The plots are generated from the given function, not measured data or an official answer image. The 0–4 s display interval is illustrative; no time interval is specified in the original problem.