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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

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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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