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

Vector magnitude (Pythagoras theorem):

**v = sqrt(v _{x}^{2} + v_{y}^{2})**

Vector direction (Trigonometry)

**Tanθ = (v _{y}/v_{x})**

A rocket-powered hockey puck moves on a horizontal frictionless table. The figure below shows the graphs of v_{x} and v_{y}, 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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Our tutors have indicated that to solve this problem you will need to apply the Conceptual Problems with Velocity-Time Graphs concept. You can view video lessons to learn Conceptual Problems with Velocity-Time Graphs. Or if you need more Conceptual Problems with Velocity-Time Graphs practice, you can also practice Conceptual Problems with Velocity-Time Graphs practice problems.