A projectile is fired vertically upward and has a position given by s(0-1612+160t+176 for 0-t11. Complete parts a. through e. below. a. Graph the position function for 0 sts 11. Choose the correct graph below Each curve is graphed in a [-4,11,1] by [0,1600,100] window OA OB. b. From the graph of the position function, identify the time at which the projectile has an instantaneous velocity of zero; call this time t=a. t=5 (Type an integer or a decimal) c. Confirm your answer to part (b) by making a table of average velocities to approximate the instantaneous velocity att=a. Complete the table below Slope of secant line Interval q (5,5.5) [5.5.1) [5.5.01] [5,5.001] -1 -.1 -.01 [5.5.0001] -.001 (Type integers or decimals rounded to four decimal places as needed.) The instantaneous velocity is [5]. (Type an integer or a decimal.) d. For what values oft on the interval [0,11) is the instantaneous velocity positive (the projectile moves upward)? The instantaneous velocity is positive for 0 s1=5. (Type an inequality using t as the variable.) e. For what values oft on the interval [0.11] is the instantaneous velocity negative (the projectile moves downward)? The instantaneous velocity is negative for 4 sts 11 (Type an inequality using t as the variable.) C. OD
A projectile is fired vertically upward and has a position given by s(0-1612+160t+176 for 0-t11. Complete parts a. through e. below. a. Graph the position function for 0 sts 11. Choose the correct graph below Each curve is graphed in a [-4,11,1] by [0,1600,100] window OA OB. b. From the graph of the position function, identify the time at which the projectile has an instantaneous velocity of zero; call this time t=a. t=5 (Type an integer or a decimal) c. Confirm your answer to part (b) by making a table of average velocities to approximate the instantaneous velocity att=a. Complete the table below Slope of secant line Interval q (5,5.5) [5.5.1) [5.5.01] [5,5.001] -1 -.1 -.01 [5.5.0001] -.001 (Type integers or decimals rounded to four decimal places as needed.) The instantaneous velocity is [5]. (Type an integer or a decimal.) d. For what values oft on the interval [0,11) is the instantaneous velocity positive (the projectile moves upward)? The instantaneous velocity is positive for 0 s1=5. (Type an inequality using t as the variable.) e. For what values oft on the interval [0.11] is the instantaneous velocity negative (the projectile moves downward)? The instantaneous velocity is negative for 4 sts 11 (Type an inequality using t as the variable.) C. OD
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![A projectile is fired vertically upward and has a position given by s(t)=161² +160t +176 for 0≤t≤11. Complete parts a. through e. below.
a. Graph the position function for 0 sts 11. Choose the correct graph below Each curve is graphed in a [-4,11,1] by [0,1600,100] window
O A
OB.
V
b. From the graph of the position function, identify the time at which the projectile has an instantaneous velocity of zero; call this time t=a.
t=5 (Type an integer or a decimal.)
c. Confirm your answer to part (b) by making a table of average velocities to approximate the instantaneous velocity att=a. Complete the table below
Interval
[5,5.5)
[5,5.1]
[5.5.01]
[5,5.001]
Slope of secant line
5
-1
-.01
[5.5.0001]
-.001
(Type integers or decimals rounded to four decimal places as needed.)
The instantaneous velocity is 5. (Type an integer or a decimal.)
d. For what values oft on the interval [0,11] is the instantaneous velocity positive (the projectile moves upward)?
The instantaneous velocity is positive for 0 <1-5.
(Type an inequality using tas the variable.)
e. For what values oft on the interval [0,11] is the instantaneous velocity negative (the projectile moves downward)?
The instantaneous velocity is negative for 4 sts 11.
(Type an inequality using t as the variable.)
ⒸC.
q
OD
8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01f0cf8f-e0ca-4d36-8445-83485e58c78d%2F248516e2-5d77-480a-b7b0-8ac08571ddff%2F0dmzcm_processed.png&w=3840&q=75)
Transcribed Image Text:A projectile is fired vertically upward and has a position given by s(t)=161² +160t +176 for 0≤t≤11. Complete parts a. through e. below.
a. Graph the position function for 0 sts 11. Choose the correct graph below Each curve is graphed in a [-4,11,1] by [0,1600,100] window
O A
OB.
V
b. From the graph of the position function, identify the time at which the projectile has an instantaneous velocity of zero; call this time t=a.
t=5 (Type an integer or a decimal.)
c. Confirm your answer to part (b) by making a table of average velocities to approximate the instantaneous velocity att=a. Complete the table below
Interval
[5,5.5)
[5,5.1]
[5.5.01]
[5,5.001]
Slope of secant line
5
-1
-.01
[5.5.0001]
-.001
(Type integers or decimals rounded to four decimal places as needed.)
The instantaneous velocity is 5. (Type an integer or a decimal.)
d. For what values oft on the interval [0,11] is the instantaneous velocity positive (the projectile moves upward)?
The instantaneous velocity is positive for 0 <1-5.
(Type an inequality using tas the variable.)
e. For what values oft on the interval [0,11] is the instantaneous velocity negative (the projectile moves downward)?
The instantaneous velocity is negative for 4 sts 11.
(Type an inequality using t as the variable.)
ⒸC.
q
OD
8
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