graphs of the position functions of two particles are shown where t is measured

Question

graphs of the position functions of two particles are shown where t is measured in seconds Graphs of the position functions of two particles are shown, where t is measured in seconds. 0 When is the particle in figure (a) speeding up? (Enter your answer using interval notation.) (0.1)U (3,4) x When is the particle in figure (a) slowing down? (Enter your answer using interval notation.) 0 When is the particle in figure (b) speeding up? (Enter your answer using interval notation.) (3.4) When is the particle in figure (b) slowing down? (Enter your answer using interval notation.)

Explanation / Answer

For speeding up and speeding we need to calculate or check the sign of acceleration , if it is positive of negative .

If sign of acceleration is negative then the object is slowing down.

If sign of acceleration is positive then the object is speeding up.

(a) Speeding Up => (2,4)

Speeding Down => (0,2)

(b) Speeding Up => (0,1) U (2,4)

Speeding Down => (1,2)

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