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a parachutist jumps from a plane 3500 m above ground. the height, h, in metres of the parachutists above ground t seconds after the jump can be moddelled by the function h(t) + 3500 - 4.9t^2.  a) what type of function is h(t) b) Without calculating the finite differences determine i) which finite differences are constant for this polynomial function.  ii) the value of the constant finite differences explain how you found your awnsers.  c) Describe the end behaviour of this function assuming there are no reestrictions on the domain d) Graph the function state any reasonable restrictions on the domain.  e) what do the t-intercepts of the graph represent for this situattion

a parachutist jumps from a plane 3500 m above ground. the height, h, in metres of the parachutists above ground t seconds after the jump can be moddelled by the function h(t) + 3500 - 4.9t^2.  a) what type of function is h(t) b) Without calculating the finite differences determine i) which finite differences are constant for this polynomial function.  ii) the value of the constant finite differences explain how you found your awnsers.  c) Describe the end behaviour of this function assuming there are no reestrictions on the domain d) Graph the function state any reasonable restrictions on the domain.  e) what do the t-intercepts of the graph represent for this situattion

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 22E
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a parachutist jumps from a plane 3500 m above ground. the height, h, in metres of the parachutists above ground t seconds after the jump can be moddelled by the function h(t) + 3500 - 4.9t^2. 

a) what type of function is h(t)

b) Without calculating the finite differences determine

i) which finite differences are constant for this polynomial function. 

ii) the value of the constant finite differences explain how you found your awnsers. 

c) Describe the end behaviour of this function assuming there are no reestrictions on the domain

d) Graph the function state any reasonable restrictions on the domain. 

e) what do the t-intercepts of the graph represent for this situattion

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