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**Unformatted text preview: **text that has been the cause of all your pain. Suddenly life is a realm of wonder, calling for your presence. b. You had lots of diving lessons when you were a kid. If you are traveling with a velocity of less than 200 feet per second, you can survive the plunge. Will you survive? Solution to b): We need to calculate your velocity when you hit the water. Differentiating h ( t ) to get the velocity gives v ( t ) = h '( t ) = -32 t . So the velocity when you hit the water, when t =5, is given by v (5) = -160. You hit the water at a speed of 160 feet per second, so you'll make it. The minus sign in the velocity indicates that the height is decreasing. Now, if you can just swim 2 miles in freezing water against a fierce current, you may still be able to make your 3 PM calculus class. Next: Doing that Calc Thing Up: Velocity and Acceleration: Put Previous: Position and velocity of Joel Hass 1999-05-26...

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- Derivative, Velocity, Headache