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A projectile is fired vertically upward and has a position given by s(t)=-16t2+192t+208 for 0≤t≤13. Complete parts ​(a)–​(e) below. a. Graph the position function for 0≤t≤13. Curve is to be graphed in a [−4,13,1] by [0,1900,100] window. 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= ? ​(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 at tequals=a. Complete the table below. Please detail solution     Interval Slope of the secant line [6, 6.5]     [6, 6.1]     [6, 6.01]     [6, 6.001]   [6, 6.0001]     ​(Type integers or decimals. Do not round until the final answer. Then round to four decimal places as​ needed.)   d. For the value of t on the interval [0, 13] is the instantaneous velocity positive (the projectile moves upward)? include range   e. For the value of t on interval [0, 13] is the instantaneous velocity negative (the projectile moves downward)? include range

A projectile is fired vertically upward and has a position given by s(t)=-16t2+192t+208 for 0≤t≤13. Complete parts ​(a)–​(e) below. a. Graph the position function for 0≤t≤13. Curve is to be graphed in a [−4,13,1] by [0,1900,100] window. 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= ? ​(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 at tequals=a. Complete the table below. Please detail solution     Interval Slope of the secant line [6, 6.5]     [6, 6.1]     [6, 6.01]     [6, 6.001]   [6, 6.0001]     ​(Type integers or decimals. Do not round until the final answer. Then round to four decimal places as​ needed.)   d. For the value of t on the interval [0, 13] is the instantaneous velocity positive (the projectile moves upward)? include range   e. For the value of t on interval [0, 13] is the instantaneous velocity negative (the projectile moves downward)? include range

Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 2.81CP: A blue car of length 4.52 m is moving north on a roadway (hat intersects another perpendicular...
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A projectile is fired vertically upward and has a position given by s(t)=-16t2+192t+208 for 0≤t≤13. Complete parts ​(a)–​(e) below.

a. Graph the position function for 0≤t≤13. Curve is to be graphed in a [−4,13,1] by [0,1900,100] window.

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= ?
​(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 at
tequals=a.
Complete the table below. Please detail solution
 
 
Interval
 Slope of the secant line
[6, 6.5]
  
 
[6, 6.1]
  
 
[6, 6.01]
  
 
[6, 6.001]
  
[6, 6.0001]
 
  
​(Type integers or decimals. Do not round until the final answer. Then round to four decimal places as​ needed.)
 
d. For the value of t on the interval [0, 13] is the instantaneous velocity positive (the projectile moves upward)? include range
 
e. For the value of t on interval [0, 13] is the instantaneous velocity negative (the projectile moves downward)? include range
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