A projectile is shot upward from the surface of Earth with an initial velocity of 103 meters per second. Use the position function below for free-falling objects. What is its velocity after 3 seconds? After 11 seconds? (Round your answers to one decimal place.) s(t) = -4.9t2 + vot + so 3 s X m/s 11 s m/s Need Help? Read It Watch It Submit Answer

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 shot upward from the surface of Earth with an initial velocity of 103 meters per second. Use the position function below for free-falling objects. What is its velocity after
3 seconds? After 11 seconds? (Round your answers to one decimal place.)
s(t) = -4.9t2 + vot + so
3 s
|× m/s
11 s
m/s
Need Help?
Read It
Watch It
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Transcribed Image Text:A projectile is shot upward from the surface of Earth with an initial velocity of 103 meters per second. Use the position function below for free-falling objects. What is its velocity after 3 seconds? After 11 seconds? (Round your answers to one decimal place.) s(t) = -4.9t2 + vot + so 3 s |× m/s 11 s m/s Need Help? Read It Watch It Submit Answer
A silver dollar is dropped from the top of a building that is 1312 feet tall. Use the position function below for free-falling objects.
s(t) = -16t +Vgt + So
(a) Determine the position and velocity functions for the coin.
s(t) =
- 16r + 1312
v(t) = -32t
(b) Determine the average velocity on the interval [1, 2].
|-48
ft/s
(c) Find the instantaneous velocities when t = 1 second and t =2 seconds.
v(1) =|-32
ft/s
v(2) =|-64
ft/s
(d) Find the ti me required for the coin to reach the ground level. (Round your answer to three decimal places.)
t =|-82
X S
(e) Find the velocity of the coin at impact. (Round your answer to three decimal places.)
297.29
x ft/s
Need Heln?
Transcribed Image Text:A silver dollar is dropped from the top of a building that is 1312 feet tall. Use the position function below for free-falling objects. s(t) = -16t +Vgt + So (a) Determine the position and velocity functions for the coin. s(t) = - 16r + 1312 v(t) = -32t (b) Determine the average velocity on the interval [1, 2]. |-48 ft/s (c) Find the instantaneous velocities when t = 1 second and t =2 seconds. v(1) =|-32 ft/s v(2) =|-64 ft/s (d) Find the ti me required for the coin to reach the ground level. (Round your answer to three decimal places.) t =|-82 X S (e) Find the velocity of the coin at impact. (Round your answer to three decimal places.) 297.29 x ft/s Need Heln?
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