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Question

Difficulty Level:

Medium

MCQ

Sara and Arabella are on two swings of a swing set. The function ${S}({t})$ represents Sara’s height, in meters, from the ground $t$ seconds after a bell rings. Likewise, $A(t)$ represents Arabella’s height from the ground $t$ seconds after the bell rings.

$S(t)=1.4+\sin (3 t-1.5)$

$A(t)=1.4+0.7 \sin (2.5 t-1)$

Consider the following equation:

$1.4+\sin (3 {t}-1.5)=1.4+0.7 \sin (2.5 {t}-1)$

What does the least positive solution for the last equation represent?

Select all that apply :

The number of seconds after the bell when Sara and Arabella first are the same height from the ground

The difference in height above the ground of Sara and Arabella $1.4$ seconds after the bell.

The set of all numbers of seconds after the bell when Sara and Arabella are the same height from the ground

The combined height above the ground of Sara and Arabella $1.4$ seconds after the bell

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