Select the correct answer from each drop-down menu.
Riley is swinging on a swing at the playground. Let t represent time, in seconds, and let () represent Riley's hortzontal distance, in inches, from her starting position, as shown in the table.
0.75
38.9
1.5
55
2.25 3
389
3,75
0-28.9
4.5
-55
5.25 6
-38.9 0
6.75
38.9
Note: When Riley swings in front of the starting position, () is positive, and when Riley swings behind the starting, f(t) is negative.
From the table, Riley is moving forward on the interval [0, ____
it takes Riley _____seconds to swing forward, back, and then return to her starting position.
Riley reaches a maximum distance of ____Inches from her starting position.
Answers
Given : Riley is swinging on a swing at the playground. t represent time, in seconds, and let f(t) represent Riley's horizontal distance, in inches from her starting position, as shown in the table.
t: 0 ,0.75, 1.5, 2.25, 3, 3.75, 4.5, 5.25, 6, 6.75
f(t): 0 ,38.9, 55, 38.9, 0, -28.9, -55, -38.9, 0, 38.9
Note: When Riley swings in front of the starting position, f(t) is positive, and when Riley swings behind the starting position, f(t) is negative.
To Find : Fill in the blanks
From the table, Riley is moving forward on the interval [0, ]
It takes Riley ? seconds to swing forward, back, and then return to her starting position. A inches from her starting position.
Riley reaches a maximum distance of ? inches from her starting position
Solution:
t: 0 ,0.75, 1.5, 2.25, 3, 3.75, 4.5, 5.25, 6, 6.75
f(t): 0 ,38.9, 55, 38.9, 0, -28.9, -55, -38.9, 0, 38.9
started from 0 , upto 1.5 secs and 55 distance
she is moving forward upto 1.5 sec
then she start moving backward and comes back to original position at 3 secs and keep going backward upto 4.5 secs at - 55 distance
then start moving forward and reach original position at 6 sec
From the table, Riley is moving forward on the interval [0, 1,5]
It takes Riley 6 seconds to swing forward, back, and then return to her starting position. A inches from her starting position.
Riley reaches a maximum distance of 55 inches from her starting position
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