Question

1. sketch a graph to help you answer the question. then, write your answer in the blank below. 1. xavier starts 3 feet away from a motion detector. 2. he then walks away from the detector at a rate of 2 ft/sec for 3 seconds. 3. he remains still for 3 seconds, and then... 4. he walks toward the detector at a rate of -1 ft/sec for 3 seconds. how far is xavier from the motion detector when he finishes his walk? xavier is ____ ft away from the motion detector when he finishes his walk.

Explanation:

Step1: Analyze initial position

Xavier starts 3 feet away.

Step2: Calculate distance after first - stage walk

He walks away at 2 ft/sec for 3 seconds. Distance covered is $2\times3 = 6$ ft. So position is $3 + 6=9$ ft away.

Step3: Analyze stationary period

He remains still for 3 seconds, position doesn't change, still 9 ft away.

Step4: Calculate distance after second - stage walk

He walks towards at - 1 ft/sec for 3 seconds. Distance covered is $-1\times3=- 3$ ft. So final position is $9+( - 3)=6$ ft away.

Answer:

6