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An astronaut measures the height above the moon's surface, h meters, of a rock t seconds after releasing it. The following table shows the recorded values of h and t2.
State the height from which the rock was released.
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The relationship between h and t2 can be modeled by the equation h=at2+b.
Find the value of a and the value of b.
Hence estimate the time at which the rock reaches a height of 20 meters.
Explain why the regression equation should not be used to predict the height when t=9.
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