A top fuel dragster covers the quarter mile in 4.5 seconds. what is its speed in miles per hour? please tell me step by step what to do.
135 mph
To find the speed of the top fuel dragster in miles per hour, follow these steps:
Step 1: Convert the quarter-mile distance from miles to feet.
1 mile = 5280 feet
Therefore, the quarter mile (1/4 mile) is equal to (1/4) * 5280 = 1320 feet.
Step 2: Calculate the time it takes to cover the quarter mile in hours.
Given that the dragster covers the quarter mile in 4.5 seconds, we need to convert this time to hours.
There are 60 seconds in a minute and 60 minutes in an hour. So, to convert seconds to hours, divide the time in seconds by 3600 (60 * 60).
4.5 seconds ÷ 3600 = 0.00125 hours
Step 3: Calculate the speed by dividing the distance covered by the time taken.
Speed = Distance ÷ Time
Speed = 1320 feet ÷ 0.00125 hours
Step 4: Convert the speed from feet per hour to miles per hour.
To convert from feet per hour to miles per hour, divide by the conversion factor 5280 (the number of feet in a mile).
Speed = (1320 feet ÷ 0.00125 hours) ÷ 5280
Step 5: Perform the calculation to get the speed in miles per hour.
Speed = (1320 ÷ 0.00125) ÷ 5280
Speed ≈ 250 miles per hour
Therefore, the speed of the top fuel dragster is approximately 250 miles per hour.