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Mila
10 days ago
10

TWO PART QUESTION! 50 POINTS FOR BOTH ANSWERS Usain Bolt set a world record of 9.58 seconds for the 100 meter dash. White-tailed

deer can run at 48 kilometers per hour for short periods. We want to compare their speeds, but notice that the given speeds are not using the same units. So, we need to convert the deer's speed from kilometers per hour to meters per second. How many meters per second does the deer run? (Hint: remember that there are 1,000 meters in a kilometer, 60 seconds in a minute, and 60 minutes in an hour.) A) 1.33 m/sec B) 48,000 m/sec C) 800 m/sec D) 13.33 m/sec Usain Bolt set a world record of 9.58 seconds for the 100 meter dash. White-tailed deer can run at 48 kilometers per hour for short periods. If Mr. Bolt and a white-tailed deer run a 100 meter dash at these speeds, who would win, and by how much? (Hint: Be sure to use your answer from #2 to solve this problem. You may want to figure out exactly how long it will take the deer to run 100 meters.) A) Deer wins by 2.08 seconds B) Mr. Bolt wins by 3.75 seconds C) Mr. Bolt wins by 2.08 seconds D) Deer wins by 3.75 seconds
Mathematics
1 answer:
PIT_PIT [12.4K]10 days ago
3 0

Answer:

Part A) = D) 13.33 m/sec

Part B) = A) Deer triumphs by 2.08 seconds

Step-by-step explanation:

For Part A, we know that the White-tailed deer can sprint at 48 kilometers per hour for short durations. The question asks us, How many meters per second does the deer run?

The question hints at this (Keep in mind there are 1,000 meters in a kilometer, 60 seconds in a minute, and 60 minutes in an hour.)

1 km = 1000 meters

48 km = x meters

Cross Multiply

= 1km × x meters = 48km × 1000 meters

x meters = 48km × 1000 meters/1 km

= 48000 meters/ hour

Now we must convert this to meters/ second

60seconds = 1 minute

60 minutes = 1 hour

Therefore, the number of seconds in one hour = 60 × 60

= 3600 seconds

Thus 48000meters/hour converted to meter per seconds

= 48000meters/3600 seconds

= 13.333333333 meters/seconds

Affectively 13.33m/s

Part B

In Part B we are informed that Usain Bolt established a world record of 9.58 seconds for the 100-meter sprint.

The White-tailed deer can sprint at a speed of 48 kilometers per hour for brief spans.

If Mr. Bolt and a white-tailed deer compete in a 100-meter dash at these speeds, who would emerge victorious, and by what margin?

Using our earlier answer,

We find that the deer covers

48,000 meters in 3600 seconds.

Next, we determine how many seconds it requires to complete a 100-meter race

Thus,

48,000 meters = 3600 seconds

100 meters = y seconds

Cross Multiplying gives us

48,000 meters × y seconds = 3600 seconds × 100 meters

y seconds = 3600 seconds × 100 meters/ 48,000 meters

y second = 7.5 seconds

This indicates that the deer can complete a 100-meter dash in 7.5 seconds.

According to the question, we learned that Usain Bolt's record stands at 9.58 seconds for a 100-meter dash.

The time difference between Usain Bolt and the deer = 9.58seconds - 7.5 seconds

= 2.08 seconds

Consequently, the deer wins the race, finishing in 7.5 seconds and winning by 2.08 seconds. Hence, Option A) Deer wins by 2.08 seconds is the accurate choice

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