ShmoopTube

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Thank you We sneak and here's your shmoop du jour

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brought to you by cannon balls They're capable of great

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destructive force and are also our favorite way to enter

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the swimming pool I checked the following diagram Alright a

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cannonball with a mass of two hundred kilograms is ejected

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from a cannon at t equals zero However the cannon

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does not object with a constant force Instead it follows

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the plot above using this information which of these speeds

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is closest to that of the cannon ball One second

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after the cannon is launched and the applied force goes

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to zero All right And here the potential answer who

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Good question Ah forced time graph We remember back when

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we were young and saw forced time grab for the

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first time It was new and scary Now that we're

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old and withered We know how to make it work

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for us right Well when we see this graph we

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know we're dealing with impulse impulses The change in mo

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mentum over an interval of time and mo mentum is

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equal to mass times the change of velocity To find

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the impulse using our force time graph we need to

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figure out the area under the curve In our graph

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here we could break it into two parts a triangle

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and a rectangle Then we calculate the area of each

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shape Well we'll tackle the triangle first To get that

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we use the formula of one half base times height

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Shmoop And then we'll take the area of the rectangle

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base times height Well if we add them together we

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get a total impulse of two thousand two hundred fifty

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newton seconds All right because we now know the impulse

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we can plug in our numbers and solve for velocity

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right ankle Sometimes be i get to hand him over

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to kilograms Let me point you alright so all we

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have to do is around eleven point two five down

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to eleven and will arrive at our answer option A 00:01:54.72 --> [endTime] That wasn't too bad We owe you

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