1. If a stone is thrown vertically upward from the surface of the moon with a velocity of 10 meters per second (m/s), its height (in m) after t seconds (s) is h = 10t - 0.83F. a. What is the velocity of the stone after 3 s? b. What is the velocity of the stone if it has risen by 25 m?

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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B. Answer the following problems. Show your complete solutions.
1. If a stone is thrown vertically upward from the surface of the moon with a velocity
of 10 meters per second (m/s), its height (in m) after t seconds (s) is h = 10t - 0.83F.
a. What is the velocity of the stone after 3 s?
b. What is the velocity of the stone if it has risen by 25 m?
2. A spherical balloon is being inflated. Find the rate of increase if the surface area
(S = 4tr²) with respect to the radius r are the following:
a. 0.3 m
b. 0.61 m
C. 0.91 m
Differentiation and Integration
Transcribed Image Text:B. Answer the following problems. Show your complete solutions. 1. If a stone is thrown vertically upward from the surface of the moon with a velocity of 10 meters per second (m/s), its height (in m) after t seconds (s) is h = 10t - 0.83F. a. What is the velocity of the stone after 3 s? b. What is the velocity of the stone if it has risen by 25 m? 2. A spherical balloon is being inflated. Find the rate of increase if the surface area (S = 4tr²) with respect to the radius r are the following: a. 0.3 m b. 0.61 m C. 0.91 m Differentiation and Integration
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