The time taken to travel length of track is 150 second
Given that children's rollercoaster ride travels along 3300 feet of track at an average rate 15 miles per hour
Distance = 3300 feet
Speed = 15 miles per hour
To find: Time taken to travel this length of the track in seconds
The relation between speed and distance is given as:
[tex]speed = \frac{distance}{time}[/tex]
[tex]time = \frac{distance}{speed}[/tex] ----- eqn 1
Let us first convert miles per hour to feet per second
To convert miles to feet multiply by 5,280
1 mile = 5280 feet
To convert hours to seconds, multiply by 3,600
1 hour = 3600 seconds
Converting 15 miles per hour to feet per second
[tex]15 \frac{miles}{hour} = 15(\frac{5280}{3600}) = 22 \frac{feet}{second}[/tex]
Substituting the values in eqn 1, we get
[tex]time = \frac{3300 feet}{22 \frac{feet}{second}}[/tex]
time = 150 second
Thus the time taken to travel length of track is 150 second