Calculating Change in Velocity from Acceleration-Time Graphs Video Lessons

Concept

Problem: Three particles move along the x-axis, each starting at t0 = 0 s. The graph for A is a position-versus-time graph; the graph for B is a velocity-versus-time graph; the graph for C is an acceleration-versus-time graph.(a) Find the velocity of the particle A at exttip{t}{t} = 5.5 s. (b) Find the velocity of the particle B at exttip{t}{t} = 5.5 s. (c) Find the velocity of the particle C at exttip{t}{t} = 5.5 s. Particle starts with v0x = 10 m/s at t0 = 0 s.

FREE Expert Solution

In this problem, we have position-time, velocity-time, and acceleration-time graphs. Let's check out how to determine the velocity at a given time from each graph.

(a)

In a position-time graph, velocity is given by the slope of the curve.

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Problem Details

Three particles move along the x-axis, each starting at t0 = 0 s. The graph for A is a position-versus-time graph; the graph for B is a velocity-versus-time graph; the graph for C is an acceleration-versus-time graph.

(a) Find the velocity of the particle A at = 5.5 s.

(b) Find the velocity of the particle B at = 5.5 s.

(c) Find the velocity of the particle C at = 5.5 s. Particle starts with v0x = 10 m/s at t0 = 0 s.