On , the speed of a particle along Curve C satisfies for every , while the speed of…

MATHEMATICS · Subjective · AP · Calculus BC · Applications of Integration · Applications of Integration

Problem

0\le t\le 5

, the speed of a particle along Curve C satisfies

2\le v_C(t)\le 3

for every

t

, while the speed of another particle along Curve D satisfies

1\le v_D(t)\le 4

for every

t

. Can you determine which curve is longer on

0\le t\le 5

? Provide a brief explanation supporting your answer.