Explanation Given that the velocity is d s d t = − 9.8 t + 16 and the initial displacement is 48m. Integrate the velocity is d s d t = − 9.8 t + 16 to find the position function, s ( t ) = ∫ ( − 9.8 t + 16 ) d t = [ − 9.8 t 2 2 + 16 t ] + s 0 = − 4.9 t 2 + 16 t + s 0 Since the initial displacement is 48m, the point is ( 0 , 48 ) . 48 = − 4.9 ( 0 ) 2 + 16 ( 0 ) + s 0 48 = 0 + 0 + s 0 s 0 = 48 Use 48 for s 0 in s ( t ) = − 4

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Chapter 25, Problem 64RE

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The displacement s of the object after 4.0 s if the initial displacement is 48m.

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Chapter 25, Problem 63RE

Chapter 25, Problem 65RE

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