Explain why if a runner completes a 6.2â-mi race in 32 âmin, then he must have been running at exactly 11 âmi/hr at least twice
1 answer:
Answer:
Accelerating to top speed, deaccelerating to finish line.
Step-by-step explanation:
If the runner kept a constant speed of 11 mph for the whole duration of his run (32 minutes), the distance he would have covered is:
This means that, in order to run the full 6.2 miles, the runner needs to reach a speed over 11 mph. Assume he starts from rest, while accelerating the runner reaches, and the surpasses, the 11 mph mark. Since his speed at the finish line is zero, the runner has to deaccelerate from his current running speed (which should be higher than 11 mph), passing through 11 mph and reaching zero at the finish line.
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<span>A geometric sequence is a sequence of
numbers where each term after the first is found by multiplying the
previous one by a fixed, non-zero number called the common ratio.
</span>The common ration is obtained by dividing the a term by the preceding term.
Given that f<span>our students wrote sequences during math class with
Andre writing
Brenda writing </span>
Camille writing
Doug writing
Notice that the common ratio for the four students is
.
For Andre, the last term is wrong and hence his sequence is not a geometric sequence.
For Brenda, the last term is wrong and hence her sequence is not a geometric sequence.
For Camille, her sequence is not a geometric sequence.
For Doug, his sequence is a geometric sequence with a common ratio of.
Therefore, Doug wrote a geometric sequence.
</span>The common ration is obtained by dividing the a term by the preceding term.
Given that f<span>our students wrote sequences during math class with
Andre writing
Brenda writing </span>
Camille writing
Doug writing
Notice that the common ratio for the four students is
For Andre, the last term is wrong and hence his sequence is not a geometric sequence.
For Brenda, the last term is wrong and hence her sequence is not a geometric sequence.
For Camille, her sequence is not a geometric sequence.
For Doug, his sequence is a geometric sequence with a common ratio of
Therefore, Doug wrote a geometric sequence.