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

ID: 2836507 • Letter: G

Question

Graphs of the position functions of two particles are shown, where t is measured in seconds.

When is the particle in figure (a) speeding up? (Enter your answer using interval notation.)

____________________

When is the particle in figure (a) slowing down? (Enter your answer using interval notation.)

____________________

When is the particle in figure (b) speeding up? (Enter your answer using interval notation.)

________________________

When is the particle in figure (b) slowing down? (Enter your answer using interval notation.)

_______________________ (a.) It says that (0,1) and (3,4) speeding up are wrong, as well as (1,3) slowing down.

(b.) i entered (3,4) for speeding up and (0,3) for slowing down. It says these are wrong too. Please help

Graphs of the position functions of two particles are shown, where t is measured in seconds. When is the particle in figure (a) speeding up? (Enter your answer using interval notation.) When is the particle in figure (a) slowing down? (Enter your answer using interval notation.) When is the particle in figure (b) speeding up? (Enter your answer using interval notation.) When is the particle in figure (b) slowing down? (Enter your answer using interval notation.) (a.) It says that (0,1) and (3,4) speeding up are wrong, as well as (1,3) slowing down. (b.) i entered (3,4) for speeding up and (0,3) for slowing down. It says these are wrong too. Please help

Explanation / Answer

a)[0,1]constant velocity,

reversed its velocity direction,

[1,3]constant velocity,again reversed direction of velocity

,[3,4]constant velocity but greater velocity then previous one

b)[0,1]speeding,(notice change of convexity of curve at point (1,0)

[1,2]slowing,

[2,3]constant velocity,

reversed direction of velocity and then [3.4]constant velocity