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
