c) A skydiver's vertical velocity is modelled by the function v(t) = -9.8t where v(t) is her vertical speed in ms-1 and t is time in seconds since she jumped out of an asroplane. O sts 10. The agroplane has an altitude of 3900 m at the instant the skydiver jumps out. i) Find a specific function for s(t), the altitude of the skydiver at time t. ii) Write down the units for s(t). iii) Hence, find the altitude of the skydiver at 1, 5, and 10 seconds.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
c)
A skydiver's vertical velocity is modelled by the funetion v(t) = -9.8t where v(t) is her
vertical speed in ms-1 and t is time in seconds since she jumped out of an
aeroplane. Osts 10. The aeroplane has an altitude of 3900 m at the instant the skydiver
jumps out.
i)
Find a specific function for s(t), the altitude of the skydiver at time t.
ii)
Write down the units for s(t).
iii)
Hence, find the altitude of the skydiver at 1, 5, and 10 seconds.
Transcribed Image Text:c) A skydiver's vertical velocity is modelled by the funetion v(t) = -9.8t where v(t) is her vertical speed in ms-1 and t is time in seconds since she jumped out of an aeroplane. Osts 10. The aeroplane has an altitude of 3900 m at the instant the skydiver jumps out. i) Find a specific function for s(t), the altitude of the skydiver at time t. ii) Write down the units for s(t). iii) Hence, find the altitude of the skydiver at 1, 5, and 10 seconds.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning