To determine how long the roller coaster ride takes to travel along 3300 feet of track at an average speed of 15 miles per hour, we can follow these steps:
- Convert the speed from miles per hour to feet per second:
- We know that 1 mile = 5280 feet, and there are 3600 seconds in an hour.
- Therefore, the speed in feet per second can be calculated as follows:
\[ \text{Speed (feet/second)} = 15 \text{ miles/hour} \times \frac{5280 \text{ feet}}{1 \text{ mile}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}} \]
Calculating this:
\[ = 15 \times \frac{5280}{3600} \]
Now, simplify \( \frac{5280}{3600} \):
\[ = \frac{5280 \div 720}{3600 \div 720} = \frac{7.3333}{5} = 1.4666667 \]
Now multiply this by 15:
\[ 15 \times 1.4666667 = 22.000 \]
So, the speed in feet per second is approximately \( 22 \) feet/second.
- Now calculate the time to travel 3300 feet:
- We can use the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
Substituting in the values we have:
\[ \text{Time} = \frac{3300 \text{ feet}}{22 \text{ feet/second}} = 150 \text{ seconds} \]
Therefore, the roller coaster ride takes 150 seconds to travel the length of the track.