The time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
Two friends are sitting on a seesaw at the park. The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function.
Let t represent the time, in seconds, since the friends started seesawing.
- t 0 1 2 3 4 5 6
- h(t) 24 48 24 0 24 48 24
The friends start seesawing with the plank in a level position. The initial position at 0 of them is at 24.
The group has to come back to this position after moving upward and downward. The time it takes to reach upward is,
[tex]f(48)=t_{up}\\f(48)=1[/tex]
The time it takes to reach downward after going upward is,
[tex]f(0)=t_{down}\\f(0)=3[/tex]
Coming back to initial potion,
[tex]f(24)=t_{i}\\f(24)=4[/tex]
Thus, the time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.
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