An object is fired vertically upward with an initial velocity v(0)= vo from an initial position s(0) = so. Answer parts a and b below. a. For vo = 29.4 m/s and so = 32 m, find the position and velocity functions for all times at which the object is above the ground. The velocity function is v(t) = The position function is s(t) = b. Find the time at which the highest point of the trajectory is reached and the height of the object at that time. The time at which the highest point of the trajectory is reached is at (Type an integer or a decimal.) The height of the object at the highest point of the trajectory is S. m. (Type an integer or a decimal.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 46SE: Near the surface of the moon, the distance that an object falls is a function of time. It is given...
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An object is fired vertically upward with an initial velocity v(0) = vo from an initial position s(0) = s0. Answer parts a and b below.
a. For vo = 29.4 m/s and so = 32 m, find the position and velocity functions for all times at which the object is above the ground.
%3D
The velocity function is v(t) =
The position function is s(t) =
b. Find the time at which the highest point of the trajectory is reached and the height of the object at that time.
The time at which the highest point of the trajectory is reached is at
S.
(Type an integer or a decimal.)
The height of the object at the highest point of the trajectory is
m.
(Type an integer or a decimal.)
Transcribed Image Text:An object is fired vertically upward with an initial velocity v(0) = vo from an initial position s(0) = s0. Answer parts a and b below. a. For vo = 29.4 m/s and so = 32 m, find the position and velocity functions for all times at which the object is above the ground. %3D The velocity function is v(t) = The position function is s(t) = b. Find the time at which the highest point of the trajectory is reached and the height of the object at that time. The time at which the highest point of the trajectory is reached is at S. (Type an integer or a decimal.) The height of the object at the highest point of the trajectory is m. (Type an integer or a decimal.)
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