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(1 point) The figure below shows the position r of an object at time ts during t

ID: 2891520 • Letter: #

Question

(1 point) The figure below shows the position r of an object at time ts during the first 7 seconds. 3 4 5 6 7 Enter your answers using interval notation. Do not include t = 0 and t = 7 in your answers. Assume that the endpoints of all intervals are integers. "Forward" means the tr-direction and "backward" means the -r-direction. The object is moving forward when te The object is moving backward when te The object is experiencing forward acceleration when te The object is experiencing backward acceleration when tc The object is moving faster and faster when te The object is moving slower and slower when te

Explanation / Answer

1) Object is moving forward when r is increasing with time. Therefore t is (0,1] and [3,5] .

2)  Object is moving backward when r is decreasing with time. Therefore t is [1,3] and [5,7) .

3) Object is experiencing forward acceleration when slope of the graph is increasing with time. Therefore t is [2,4] and [6,7).

4)Object is experiencing backward acceleration when slope of the graph is decreasing with time. Therefore t is [1,2] and [4,6]

5) Object is moving faster and faster when magnitude of slope of the graph increases. Therefore t is [1,2] and [3,4] and [5,6].

6) Object is moving slower and slower when magnitude of slope of the graph decreases.Therefore t is (0,1] and [2,3] and [4,5] and [6,7).