How Far Does the Hockey Puck Travel in 9 Seconds?

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SUMMARY

The discussion focuses on calculating the position of a hockey puck after 9 seconds of sliding in the +x direction against a strong wind. The velocity versus time graph provided in Figure 2-13 is essential for determining the area under the curve, which represents the displacement. The initial attempt to find the area of the two triangles resulted in an incorrect value of 285.25 m, indicating a misunderstanding of the required calculations. The correct approach involves using the initial velocity, the acceleration due to the wind, and the time to accurately compute the puck's final position.

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  • Understanding of kinematics, specifically displacement and velocity calculations.
  • Familiarity with interpreting velocity versus time graphs.
  • Knowledge of basic physics equations related to motion, such as \( x = vt + \frac{1}{2}at^2 \).
  • Ability to calculate the area under a curve for graphical data analysis.
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  • Learn how to calculate the area under a velocity versus time graph.
  • Study the effects of acceleration on displacement in one-dimensional motion.
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Homework Statement


At time t = 0, a hockey puck is sent sliding in the +x direction over a frozen lake, directly into a strong wind. Figure 2-13 gives the velocity v of the puck versus time, as the puck moves along a single axis. (The time axis is marked in increments of 0.25 s.) At t = 9.0 s, what is its position relative to its position x = 0 at t = 0?
W0023-Nalt.jpg


x = ____ m




Homework Equations


Is an equation really necessary?


The Attempt at a Solution


I tried finding the area of the two triangles, but got 285.25, which is wrong.
 
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aquapod17 said:

Homework Statement


At time t = 0, a hockey puck is sent sliding in the +x direction over a frozen lake, directly into a strong wind. Figure 2-13 gives the velocity v of the puck versus time, as the puck moves along a single axis.
(The time axis is marked in increments of 0.25 s.) At t = 9.0 s, what is its position relative to its position x = 0 at t = 0?
W0023-Nalt.jpg


x = ____ m

Homework Equations


Is an equation really necessary?

The Attempt at a Solution


I tried finding the area of the two triangles, but got 285.25, which is wrong.


Note the statement of the problem.

Each second sees how much acceleration in the opposite direction?

So you have an initial velocity, you have an acceleration, you have the time and you need to solve for position.
Yes, I think an equation is in order.
 

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