(adsbygoogle = window.adsbygoogle || []).push({}); The image below "gives, as a function of time t, the force component x that acts on a 2.40 kg ice block that can move only along the x axis. At t = 0, the block is moving in the positive direction of the axis, with a speed of 2.5 m/s. What is its velocity, including sign, at t = 11 s?

Answer: 8.8 m/s"

Relevant equations:

F=ma

Vf = Vo + at

I was thinking that the total area under the graph would give the net force the component seeing that the y-axis represents Force and the x-axis represents Time. With that I got the net force 15N (29N - 14N). So,

F = 25N

F = ma

m = 2.40kg

Vo = 2.5m/s

t = 11

Vf = ?

Therefore, with the given information, I decided to use the following kinematic equation to find acceleration.

Vf = Vo +at

a = (Vf - Vo)/t

So,

F = m(Vf - Vo)/t

And if we solve for Vf we get

Vf = tF/m + Vo

____________________________________________________________

However, when I plug in the units I get an answer that is way way off.

Vf = 11(15)/2.4 + 2.5

Vf = 165/2.4 + 2.5

Vf = 68.75 + 2.5

Vf = 71.25 m/s

I know I added in the units at the end but I checked and the units come out correctly. Therefore, my question is: what did I do wrong? Why am I so far off? Obviously I did something horribly wrong in my calculation, but where?

Thank you for taking the time review my question. Any help is much appreciated.

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# Homework Help: What is the final velocity of the particle?

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