Ex// A diver jumps from a 3-m springboard with an initial vertical velocity of 6.8 m/s. Her height, h, in meters, above the water t seconds after leaving the diving board can be modelled by the function h(t) = -4.9r² + 6.8t + 3 a) Graph the function (value) b) What does the y-intercept represent? nax/min) c) What max height does the diver reach? When does she reach that height? (zero) d) How long does it take before the diver hits the water? e) What domain and range are appropriate in this situation? (value) f) What is the height of the diver 0.6s after leaving the board? Window h(t) =-4.91? +6.8t +3 • Xa • Xui • X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Ex//
A diver jumps from a 3-m springboard with an initial vertical velocity of
6.8 m/s. Her height, h, in meters, above the water t seconds after leaving
the diving board can be modelled by the function h(t) = -4.9r² + 6.8t +3
a) Graph the function
(value) b) What does the y-intercept represent?
nax/min) c) What max height does the diver reach? When does she reach that
height?
(zero) d) How long does it take before the diver hits the water?
e) What domain and range are appropriate in this situation?
(value) f) What is the height of the diver 0.6s after leaving the board?
h(t)=-4.912 +6.81 +3
Window:
• Xu
• Y
• Y
• Yai
Transcribed Image Text:Ex// A diver jumps from a 3-m springboard with an initial vertical velocity of 6.8 m/s. Her height, h, in meters, above the water t seconds after leaving the diving board can be modelled by the function h(t) = -4.9r² + 6.8t +3 a) Graph the function (value) b) What does the y-intercept represent? nax/min) c) What max height does the diver reach? When does she reach that height? (zero) d) How long does it take before the diver hits the water? e) What domain and range are appropriate in this situation? (value) f) What is the height of the diver 0.6s after leaving the board? h(t)=-4.912 +6.81 +3 Window: • Xu • Y • Y • Yai
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