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.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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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