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An object thrown vertically upward from the surface of a celestial body at a velocity of 30 m/s reaches a height of s=0.62 +30t meters in t seconds. a. Determine the velocity v of the object after t seconds. b. When does the object reach its highest point? c. What is the height of the object at the highest point? d. When does the object strike the ground? e. With what velocity does the object strike the ground? f. On what intervals is the speed increasing? a. The object's velocity after t seconds is v(t) = - 1.2t+ 30 meters per second. b. It takes the object (Simplify your answer.) c. The object reaches a maximum height of (Simplify your answer.) d. The object strikes the ground after (Simplify your answer.) to reach its highest point. e. The object strikes the ground with the velocity (Simplify your answer.) f. The speed is increasing on the interval(s) (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)

An object thrown vertically upward from the surface of a celestial body at a velocity of 30 m/s reaches a height of s=0.62 +30t meters in t seconds. a. Determine the velocity v of the object after t seconds. b. When does the object reach its highest point? c. What is the height of the object at the highest point? d. When does the object strike the ground? e. With what velocity does the object strike the ground? f. On what intervals is the speed increasing? a. The object's velocity after t seconds is v(t) = - 1.2t+ 30 meters per second. b. It takes the object (Simplify your answer.) c. The object reaches a maximum height of (Simplify your answer.) d. The object strikes the ground after (Simplify your answer.) to reach its highest point. e. The object strikes the ground with the velocity (Simplify your answer.) f. The speed is increasing on the interval(s) (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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An object thrown vertically upward from the surface of a celestial body at a velocity of 30 m/s reaches a height of s=0.62 +30t meters in t seconds. a. Determine the velocity v of the object after t seconds. b. When does the object reach its highest point? c. What is the height of the object at the highest point? d. When does the object strike the ground? e. With what velocity does the object strike the ground? f. On what intervals is the speed increasing? a. The object's velocity after t seconds is v(t) = - 1.2t+ 30 meters per second. b. It takes the object (Simplify your answer.) c. The object reaches a maximum height of (Simplify your answer.) d. The object strikes the ground after (Simplify your answer.) to reach its highest point. e. The object strikes the ground with the velocity (Simplify your answer.) f. The speed is increasing on the interval(s) (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)
Transcribed Image Text:An object thrown vertically upward from the surface of a celestial body at a velocity of 30 m/s reaches a height of s=0.62 +30t meters in t seconds. a. Determine the velocity v of the object after t seconds. b. When does the object reach its highest point? c. What is the height of the object at the highest point? d. When does the object strike the ground? e. With what velocity does the object strike the ground? f. On what intervals is the speed increasing? a. The object's velocity after t seconds is v(t) = - 1.2t+ 30 meters per second. b. It takes the object (Simplify your answer.) c. The object reaches a maximum height of (Simplify your answer.) d. The object strikes the ground after (Simplify your answer.) to reach its highest point. e. The object strikes the ground with the velocity (Simplify your answer.) f. The speed is increasing on the interval(s) (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)
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