A projectile is fired vertically upward into the air, and its position (in feet) above the ground after t seconds is given by the function s(t) = - 16t + 140t. a. For s(t), find the instantaneous velocity function v(t). (Recall that the velocity function v is the derivative of the position function s.) b. Determine the instantaneous velocity of the projectile att=1 and t= 3 seconds. a. v(t) = b. At t= 1, the instantaneous velocity is (Type an integer or a simplified fraction.) At t= 3, the instantaneous velocity is (Type an integer or a simplified fraction.)

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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A projectile is fired vertically upward into the air, and its position (in feet) above the ground after t seconds is given by the function s(t) = - 16t + 140t.
a. For s(t), find the instantaneous velocity function v(t). (Recall that the velocity function v is the derivative of the position function s.)
b. Determine the instantaneous velocity of the projectile at t= 1 and t = 3 seconds.
a. v(t) =
b. At t= 1, the instantaneous velocity is
(Type an integer or a simplified fraction.)
At t=3, the instantaneous velocity is
(Type an integer or a simplified fraction.)
Transcribed Image Text:A projectile is fired vertically upward into the air, and its position (in feet) above the ground after t seconds is given by the function s(t) = - 16t + 140t. a. For s(t), find the instantaneous velocity function v(t). (Recall that the velocity function v is the derivative of the position function s.) b. Determine the instantaneous velocity of the projectile at t= 1 and t = 3 seconds. a. v(t) = b. At t= 1, the instantaneous velocity is (Type an integer or a simplified fraction.) At t=3, the instantaneous velocity is (Type an integer or a simplified fraction.)
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