Physics Practice Problems Velocity & Acceleration Graphs Practice Problems Solution: Three particles move along the x-axis, each st...

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Solution: 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.Find the velocity of the particle A at exttip{t}{t} = 5.5 s. Find the velocity of the particle B at exttip{t}{t} = 5.5 s. 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.

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.

Find the velocity of the particle A at = 5.5 s. The graph shows x-position of the particle A as a function of time. Time is measured from 0 to 8 seconds on the x-axis. Position is measured from -30 to 30 meters on the y-axis. Position keeps the constant value of 30 meters over the course of the first 2 seconds. It drops linearly from 30 to -30 meters at the time interval of 2 to 8 seconds.

Find the velocity of the particle B at = 5.5 s. The graph shows x-component of the velocity for the particle B as a function of time. Time is measured from 0 to 8 seconds on the x-axis. Velocity is measured from -30 to 30 meters per second on the y-axis. Velocity keeps the constant value of 30 meters per second over the course of the first 2 seconds. It drops linearly from 30 to -30 meters per second at the time interval of 2 to 8 seconds.

Find the velocity of the particle C at = 5.5 s. Particle starts with v0x = 10 m/s at t0 = 0 s. The graph shows x-component of the acceleration for the particle C as a function of time. Time is measured from 0 to 8 seconds on the x-axis. Acceleration is measured from -30 to 30 meters per second squared on the y-axis. Acceleration keeps the constant value of 30 meters per second squared over the course of the first 2 seconds. It drops linearly from 30 to -30 meters per second squared at the time interval of 2 to 8 seconds.