SOLUTION: Chase runs a 100-meter race. 6 seconds after the race started Chase is 40 meters from the starting line and reaches his max speed; he runs at this max speed for the rest of the rac

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Chase runs a 100-meter race. 6 seconds after the race started Chase is 40 meters from the starting line and reaches his max speed; he runs at this max speed for the rest of the rac      Log On


   



Question 1121836: Chase runs a 100-meter race. 6 seconds after the race started Chase is 40 meters from the starting line and reaches his max speed; he runs at this max speed for the rest of the race. Chase notices that he is 75 meters from the starting line 11 seconds after the race started.
a. What is Chases max speed?
b. Suppose Chase runs for an additional 3 seconds after reaching his max speed..How far will Chase travel during those additional 3 seconds? What is Chase's distance from the starting line 9 seconds after the race started?
c. What is Chase's distance from the starting line 7.5 seconds after the race started?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Chase runs a 100-meter race. 6 seconds after the race started Chase is 40 meters from the starting line and reaches his max speed; he runs at this max speed for the rest of the race.
:
Chase notices that he is 75 meters from the starting line 11 seconds after the race started.
a. What is Chases max speed?
It took him 6 sec to go the 1st 40 meters, then it took him 5 more sec to go the last 35 meters at the max speed, therefore
35%2F5 = 7 meters/sec is the max speed
:
b. Suppose Chase runs for an additional 3 seconds after reaching his max speed..
How far will Chase travel during those additional 3 seconds?
3 * 7 = 21 meters
What is Chase's distance from the starting line 9 seconds after the race started?
6 sec for the first 40 yds, 21 meters in 3 sec; 21 + 40 = 61 meters in 9 sec
:
c. What is Chase's distance from the starting line 7.5 seconds after the race started?
6 sec for the first 40 m, 1.5 * 7 = 10.5 meters,
50.5 m from the starting line in 7.5 sec