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

Question 1122488: Diego runs a 100-meter race. 6 seconds after the race started Diego is 40 meters from the starting line and reaches his max speed; he runs at this max speed for the rest of the race. Diego notices that he is 76 meters from the starting line 10 seconds after the race started.
a. What is Diego's max speed?
b. Suppose Diego runs for an additional 3 seconds after reaching his max speed...
-How far will Diego travel during those additional 3 seconds?
-What is Diego's distance from the starting line 9 seconds after the race started?
c. What is Diego's distance from the starting line 7.5 seconds after the race started?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Diego runs a 100-meter race.
6 seconds after the race started Diego is 40 meters from the starting line and reaches his max speed; he runs at this max speed for the rest of the race.
Diego notices that he is 76 meters from the starting line 10 seconds after the race started.
a. What is Diego's max speed?
He covered the 1st 40 m in 6 sec, then he must have covered the last 36 m, 10-6 = 4 sec. That's a speed of 36/4 = 9m/sec(max speed)
:
b. Suppose Diego runs for an additional 3 seconds after reaching his max speed...
-How far will Diego travel during those additional 3 seconds?
3* 9m/sec = 27 m
-What is Diego's distance from the starting line 9 seconds after the race started?
40 + 27 = 67 meters
:
c. What is Diego's distance from the starting line 7.5 seconds after the race started.
7.5 - 6 = 1.5
40 + (1.5 * 9) = 53.5 m

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