1. An arrow is shot into the air and its height in feet after t seconds is given by the function f(t) = -16t² + 80t. a. Find the height of the arrow when t = 3. b. Find the instantaneous velocity of the arrow. c. Find the slope of the tangent line to the curve at t = 3. d. Find the time it takes the arrow to reach its peak.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 41A: Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN A slot 812.00...
icon
Related questions
Question
Please solve this
1. An arrow is shot into the air and its height in feet after t seconds is given by the
function f(t) = -16t² + 80t.
a. Find the height of the arrow when t = 3.
b. Find the instantaneous velocity of the arrow.
c. Find the slope of the tangent line to the curve at t = 3.
d. Find the time it takes the arrow to reach its peak.
Transcribed Image Text:1. An arrow is shot into the air and its height in feet after t seconds is given by the function f(t) = -16t² + 80t. a. Find the height of the arrow when t = 3. b. Find the instantaneous velocity of the arrow. c. Find the slope of the tangent line to the curve at t = 3. d. Find the time it takes the arrow to reach its peak.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning