6. Kitty starts riding her tricycle 3 ft from her front door; her distances s from her front door t seconds into her ride are as follows: t: S: 3.1 .9 .99 1 3 3.01 4.62 4.9602 5 21 21.1202 22.22 (a) Find Kitty's average velocities on the time intervals [.99, 1] and [3, 3.01]. (b) Assuming [correctly] that Lantz intended the values to come out nicely, guess her instantaneous velocities at 1 and 3 seconds. (c) Use your values in (b) to find her acceleration, i.e., how fast her velocity increased per second over the time interval from 1 to 3 seconds.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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Can you answer 6c?

Kitty starts riding her tricycle 3 ft from her front door; her distances s from her front door
6.
t seconds into her ride are as follows:
t :
S:
3.1
.9 .99 1 3 3.01
4.62 4.9602 5 21 21.1202 22.22
(a) Find Kitty's average velocities on the time intervals [.99, 1] and [3,3.01].
(b) Assuming [correctly] that Lantz intended the values to come out nicely, guess her instantaneous
velocities at 1 and 3 seconds.
(c) Use your values in (b) to find her acceleration, i.e., how fast her velocity increased per second
over the time interval from 1 to 3 seconds.
Transcribed Image Text:Kitty starts riding her tricycle 3 ft from her front door; her distances s from her front door 6. t seconds into her ride are as follows: t : S: 3.1 .9 .99 1 3 3.01 4.62 4.9602 5 21 21.1202 22.22 (a) Find Kitty's average velocities on the time intervals [.99, 1] and [3,3.01]. (b) Assuming [correctly] that Lantz intended the values to come out nicely, guess her instantaneous velocities at 1 and 3 seconds. (c) Use your values in (b) to find her acceleration, i.e., how fast her velocity increased per second over the time interval from 1 to 3 seconds.
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