At time t = 0 seconds, a diver jumps from a platform diving board that is 32 feet above the water. The initial velocity of the diver is 16 feet per second. When does the diver hit the water? What is the diver’s velocity at impact? 32 ftVelocity is positive when an objectis rising and is negative when anobject is falling. Notice that the divermoves upward for the first half-secondbecause the velocity is positive for0 <1 <. When the velocity is 0, thediver has reached the maximum heightof the dive.

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College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

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At time t = 0 seconds, a diver jumps from a platform diving board that is 32 feet above the water. The initial velocity of the diver is 16 feet per second. When does the diver hit the water? What is the diver’s velocity at impact?

32 ft
Velocity is positive when an object
is rising and is negative when an
object is falling. Notice that the diver
moves upward for the first half-second
because the velocity is positive for
0 <1 <. When the velocity is 0, the
diver has reached the maximum height
of the dive.

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