How Far Does the Hockey Puck Travel in 9 Seconds?

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The discussion revolves around calculating the position of a hockey puck after 9 seconds, given its initial velocity and the influence of wind. Participants emphasize the need for equations to determine the puck's position, as simply finding the area of the velocity-time graph is insufficient. One user attempted to calculate the area of triangles formed in the graph but arrived at an incorrect value. The importance of considering acceleration in the opposite direction is highlighted, suggesting that a systematic approach using equations is necessary for an accurate solution. The conversation underscores the necessity of applying physics principles to solve the problem effectively.
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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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