Superman the Escape in CAlifornia is the fastest roller coaster in the world. Riders fall 415 feet in 7 seconds. Speeds reach a maximum of 100 miles per hour.
If x represents the average rate of fall of the roller coaster, write an expression to represent the situation. (Hint: Use the distance formula d=rt.)
What is the average rate that riders fall in feet per second?
It is simply:
1.) 415 = 7x
2.) x = 59.3 ft.
Hope this helped.
average rate of fall is average speed.
average speed= distance fell/time
Thanks but this doesnt really help me answer my question.
goodness. what is distance fell, and the time of fall. That is in the problem.
To find the average rate that riders fall in feet per second, we first need to convert the speed from miles per hour to feet per second.
To convert miles per hour to feet per second, we can use the conversion factor 1 mile = 5280 feet and 1 hour = 3600 seconds.
So, the speed in feet per second can be calculated as follows:
Speed (feet per second) = Speed (miles per hour) * (5280 feet / 1 mile) * (1 hour / 3600 seconds)
Given that the speed is 100 miles per hour, we can substitute this value into the formula:
Speed (feet per second) = 100 miles per hour * (5280 feet / 1 mile) * (1 hour / 3600 seconds)
Simplifying the expression, we get:
Speed (feet per second) = 100 * 5280 / 3600
Now, let's calculate this expression:
Speed (feet per second) = 528000 / 3600
Speed (feet per second) = 146.67 feet per second
Therefore, the average rate that riders fall in feet per second is approximately 146.67 feet per second.