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

Part A) = D) 13.33 m/sec

Part B) = A) Deer wins by 2.08 seconds

Step-by-step explanation:

Part A)

From the question in Part A, we know that, the White-tailed deer can run at 48 kilometers per hour for short periods. We were asked in the question, How many meters per second does the deer run?

The question gave us this (Hint: remember that 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

The speed of the dear = 48000 meters/ hour

We have to convert this to meters/ seconds

60seconds = 1 minute

60 minutes = 1 hour

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

= 3600 seconds

Hence 48000meters/hour to meter per Seconds

= 48000meters/3600 seconds

= 13.333333333 meters/seconds

= 13.33m/s

Part B

From Part B Question, we know that 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?

Using our answer in Part A,

We know that the deer runs

48,000 meters in 3600 seconds.

The first step would be to find how many seconds it can run in an 100 meter race

Hence,

48,000 meters = 3600 seconds

100 meters = y seconds

We cross Multiply

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

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

y second = 7.5 seconds

This means, the deer can run a 100 meter dash in 7.5 seconds.

From the question, we know that Usain Bolt set the record of 9.58 seconds for an 100 letter dash.

The difference between both times for the Usain Bolt and the Deer = 9.58seconds - 7.5 seconds

= 2.08 seconds

Therefore the winner is the Deer , because it finishes the race is a shorter time of 7.5 seconds and wins by 2.08 seconds. Therefore, Option A) Deer wins by 2.08 seconds is correct