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The force versus time graph shows the force exerted on an object over time. Assuming the object started with an initial velocity of $20\text{ m/s}$ at time $t = 0\text{ s}$, what is the change in momentum of the object after $20\text{ s}$?

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A

$51\ \mathrm{ kg \cdot m/s}$

B

$1340\ \mathrm{ kg \cdot m/s}$

C

$87\ \mathrm{ kg \cdot m/s}$

D

$67\ \mathrm{ kg \cdot m/s}$

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