2. The height of a golf ball after t seconds is given by s(t) = 24t - 4.9t² meters. (a) Find the average (vertical) velocity of the golf ball on the time interval 0 ≤ t ≤ 2 seconds. (b) Find the average (vertical) velocity of the golf ball on the time interval 2.5 ≤ t ≤ 4 seconds. (c) If you've done your calculations correctly, one of your above two answers should be negative. Use a complete sentence to explain what a negative answer means in the context of this problem.
2. The height of a golf ball after t seconds is given by s(t) = 24t - 4.9t² meters. (a) Find the average (vertical) velocity of the golf ball on the time interval 0 ≤ t ≤ 2 seconds. (b) Find the average (vertical) velocity of the golf ball on the time interval 2.5 ≤ t ≤ 4 seconds. (c) If you've done your calculations correctly, one of your above two answers should be negative. Use a complete sentence to explain what a negative answer means in the context of this problem.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:2. The height of a golf ball after t seconds is given by s(t) = 24t - 4.9t² meters.
(a) Find the average (vertical) velocity of the golf ball on the time interval 0 ≤ t ≤ 2 seconds.
(b) Find the average (vertical) velocity of the golf ball on the time interval 2.5 ≤ t ≤ 4 seconds.
(c) If you've done your calculations correctly, one of your above two answers should be negative. Use a
complete sentence to explain what a negative answer means in the context of this problem.
3. Use algebra to calculate the limits in parts (a) and (b) exactly, giving your answers as exact whole numbers
or fractions, and use the table method to approximate the limits in parts (c) and (d).
√h + 16-4
h
(a) lim (r² + 2)
214
(b) lim
x²-x-12
24-3 11x +33
(a) lim f(x) =
H-2
4. Use the graph to calculate the limits. You may assume that one square represents one unit on the graph. If a
limit does not exist, write DNE in the blank.
(b) f(2)= 3
(c) lim f(x) =
x-2-
(c) lim
h→0
(e) lim f(x) =
(d) lim x
x →0+
(d) lim f(x) =
x+0+
f(x)
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