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

Algebra.Com
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

RELATED QUESTIONS

Chase runs a 100-meter race. 6 seconds after the race started Chase is 40 meters from the (answered by ankor@dixie-net.com)
Nick runs a 100-meter race. 5 seconds after the race started Nick is 45 meters from the... (answered by ikleyn)
James covers a distance of 8 meters in the first second of a 100 meter race. Then he... (answered by josmiceli)
Emma and maggie are running a race. Emma is 70 yards Away from the finish Line. She runs (answered by josgarithmetic,ikleyn)
Sprinter A runs 100 meter in 15seconds, while sprinter B starts 1.5 second later and runs (answered by TimothyLamb)
Sprinter A runs 100 meters in 15 seconds, while sprinter B starts 1.5 seconds later and... (answered by ankor@dixie-net.com)
Track: Sprinter A runs 100 meters in 15 seconds, while sprinter B starts 1.5 seconds... (answered by ankor@dixie-net.com)
Sprinter A runs 100 meters in 15 seconds, while sprinter B starts 1.5 seconds later and... (answered by TimothyLamb)
MS.SPEEDI IS PLANNING ON STARTING AT THE FINISH LINE AND WALKING TOWARD THE STARTING LINE (answered by stanbon)