usain bolt set the world record for the 100m dash, proving to be the fastest man in history, with a time of 9.58s. what was bolt's average speed in miles per hour? (his initial speed was 100m/9.58s
I got 23.35 mph for this I need help with this.
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assume that usain bolt is running the 400m race, if he has the same average speed from above for the first 100m and then begins decelerate at a rate of -0.2 m/s^2 until the end of the race. how long dose it take him to finish the race
23.36 mph is correct for the first.
time for the last 300 m:
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0=100/9.58-.2t solve for t, the time for the last 300 yards. I don't know if you want the entire 400 yards, or the last 300.
To calculate Usain Bolt's average speed in miles per hour, you need to convert meters to miles and seconds to hours.
First, let's convert 100 meters to miles. One mile is equal to 1609.34 meters, so 100 meters is 0.06214 miles (100/1609.34).
Next, let's convert seconds to hours. There are 3600 seconds in an hour, so 9.58 seconds is approximately 0.002661 hours (9.58/3600).
Now, divide the distance (in miles) by the time (in hours) to calculate Usain Bolt's average speed:
Average speed = Distance / Time
Average speed = 0.06214 miles / 0.002661 hours
Calculating this gives us an average speed of approximately 23.33 miles per hour.
So, Usain Bolt's average speed in miles per hour is approximately 23.33 mph.
Now, let's move on to the second part of the question.
If Usain Bolt starts decelerating at a rate of -0.2 m/s^2 after 100m, we need to calculate how long it takes for him to complete the remaining 300m.
To find the time it takes to decelerate from 0 m/s to the final speed (which we assume is 0 m/s), we can use the formula:
Final speed = Initial speed + (acceleration * time)
Since the final speed is 0 m/s, we can rearrange the formula as:
Time = (Final speed - Initial speed) / Acceleration
Time = (0 - 0) / (-0.2)
Time = 0 / (-0.2)
Time = 0 seconds
Therefore, it takes Usain Bolt 0 seconds to decelerate from 100m to 400m.