Conceptual Problems with Velocity-Time Graphs Video Lessons

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Problem: A rocket-powered hockey puck moves on a horizontal frictionless table. The figure below shows the graphs of vx and vy, the x- and y-components of the puck’s velocity. The puck starts at the origin.Part A. In which direction is the puck moving at t = 3 s? Give your answer as an angle from the x-axis. Express your answer using two significant figures.Part B. How far from the origin is the puck at 4 s? Express your answer to two significant figures and include the appropriate units.

FREE Expert Solution

This is a2D motion problem. We'll determine the values of velocities vx, vy,  displacements x, y, and their magnitudes.

Vector magnitude (Pythagoras theorem):

v = sqrt(vx2 + vy2)

Vector direction (Trigonometry)

Tanθ = (vy/vx)

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Problem Details

A rocket-powered hockey puck moves on a horizontal frictionless table. The figure below shows the graphs of vx and vy, the x- and y-components of the puck’s velocity. The puck starts at the origin.

Part A. In which direction is the puck moving at t = 3 s? Give your answer as an angle from the x-axis. Express your answer using two significant figures.

Part B. How far from the origin is the puck at 4 s? Express your answer to two significant figures and include the appropriate units.

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