The solution of the problem given in the previous problem is
A) $x = 15 - 15 ( 1 - 4 \sqrt { 10 } t / 15 ) ^ { 2 }$
B) $x = 15 / 2 - 15 ( 1 - 4 \sqrt { 10 } t / 15 ) / 2$
C) $x = 15 / 2 - 15 ( 1 - 2 \sqrt { 10 } t / 15 ) ^ { 2 } / 2$
D) $x = 15 / 2 - 15 ( 1 - 4 \sqrt { 10 } t / 15 ) ^ { 2 } / 2$
E) $x = 15 - 15 ( 1 - 4 \sqrt { 10 } t / 15 )$

Question

Quizplus · Accepted Answer

The correct solution involves a quadratic term in $t$, a scaling factor related to $\sqrt{10}$, and a division by 2 to adjust the amplitude and offset of the function. Option D correctly incorporates these elements, indicating a quadratic relationship with the correct coefficients and adjustments.

The Solution of the Problem Given in the Previous Problem x=15−15(1−410t/15)2x = 15 - 15 ( 1 - 4 \sqrt { 10 } t / 15 ) ^ { 2 }x=15−15(1−410​t/15)2

The Solution of the Problem Given in the Previous Problem $x = 15 - 15 ( 1 - 4 \sqrt { 10 } t / 15 ) ^ { 2 }$