Mathematics

Mathematics

Problem

For a particle moving along a line, the signs of its velocity v(t)v(t) and acceleration a(t)a(t) during four consecutive intervals are shown. Interval I: 0<t<20<t<2 v>0v>0, a<0a<0 Interval II: 2<t<42<t<4 v<0v<0, a<0a<0 Interval III: 4<t<64<t<6 v<0v<0, a>0a>0 Interval IV: 6<t<86<t<8 v>0v>0, a>0a>0 On which intervals is the particle’s speed increasing? a) Intervals I and IV b) Intervals III and IV c) Intervals II and IV d) Intervals I and III

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