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a-t Graph

How much does...

Question

How much does the monkey's velocity change from $t = 2 s$ to $t = 7 s$ ?

+ 3 m / s

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+ 1 m / s

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0 m / s

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- 1 m / s

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- 3 m / s

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Solution

The correct option is C $- 1 m / s$
In an acceleration-time graph the area between acceleration graph and time axis gives the change in velocity .
Therefore in the given graph we will calculate total area with proper sign from $t = 2 s$ to $t = 7 s$ ,
total area $A = 2 \times 2 + (2 \times - 1) + (3 \times - 1) = - 1 m / s$

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