AP Physics 1: Algebra-Based 7.3 A Describe the Displacement Velocity and Acceleration of an Object Exhibiting Shm Topic 7 3 Representing and Questions

Connect displacement, velocity, acceleration and restoring force across SHM graphs, extrema and oscillator comparisons, including pendulum motion.

Exam points

connect displacement, velocity, acceleration and restoring-force graphs through phase and sign
identify where displacement, speed, acceleration or spring force is zero or maximum
use graph tangents and intervals to estimate instantaneous speed, speed change or distance travelled
calculate maximum speed from amplitude, mass and spring constant or from maximum acceleration
compare oscillator graphs through amplitude, period, average speed, mass and acceleration

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Figure for Question AP Physics 1: Algebra-Based 7.3 A Describe the Displacement Velocity and Acceleration of an Object Exhibiting Shm Topic 7 3 Representing and Questions question 1 — AP Physics 1: Algebra-Based

(7 points, suggested time 13 minutes)
A tuning fork vibrating at 512 Hz is held near one end of a tube of length L that is open at both ends, as shown above. The column of air in the tube resonates at its fundamental frequency. The speed of sound in air is 340 m/s.

The column of air in the tube is still resonating at its fundamental frequency. On the axes below, sketch a graph of the maximum speed of air molecules as they oscillate in the tube, as a function of position x, from x=0 (left end of tube) to x=L (right end of tube). (Ignore random thermal motion of the air molecules.)

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AP Physics 1: Algebra-Based 7.3 A Describe the Displacement Velocity and Acceleration of an Object Exhibiting Shm Topic 7 3 Representing and Questions question 1