If a ball is thrown in the air with a velocity 50 ft/s, its height in feet t seconds later is given by y = 50t - 16t². (a) Find the average velocity for the time period beginning when t = 2 and lasting (i) 0.5 second. ft/s (ii) 0.1 second. ft/s (iii) 0.05 second. ft/s (iv) 0.01 second. ft/s (b) Estimate the instantaneous velocity when t = 2. ft/s

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
icon
Related questions
Question
If a ball is thrown in the air with a velocity 50 ft/s, its height in feet t seconds later is given by y = 50t - 16t².
(a) Find the average velocity for the time period beginning when t = 2 and lasting
(1)
0.5 second.
(ii)
(iii)
ft/s
0.1 second.
ft/s
0.05 second.
ft/s
(iv) 0.01 second.
ft/s
(b) Estimate the instantaneous velocity when t = 2.
ft/s
Transcribed Image Text:If a ball is thrown in the air with a velocity 50 ft/s, its height in feet t seconds later is given by y = 50t - 16t². (a) Find the average velocity for the time period beginning when t = 2 and lasting (1) 0.5 second. (ii) (iii) ft/s 0.1 second. ft/s 0.05 second. ft/s (iv) 0.01 second. ft/s (b) Estimate the instantaneous velocity when t = 2. ft/s
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax