Question

Kingda ka in new jersey is the tallest and fastest roller coaster in the world. riders travel at an average speed of 61 feet per second for 3118 feet. They reach a maximum speed of 187 feet per second.
a. if x represents the total time that the roller coaster is in motion for each ride, write an expression to represent the situation.


b. how long is the roller coaster in motion?

Answer 1

Answer:

(a) 3118=61*t

(b)  The amount of time the roller coaster is in motion is 51.11 seconds.

Step-by-step explanation:

Speed ​​is a magnitude that expresses the relationship between the space traveled by an object, the time used for it and its direction. In other words, speed is associated with the change in position of a body over time and can be expressed as:

$speed=\frac{distance}{time}$

Then the distance traveled can be expressed as:

distance=speed*time

(a) If x represents the total time that the roller coaster is in motion for each ride, the average speed is 61 feet per second and the distance is 3118 feet then the expression to represent the situation is:

3118=61*x

(b)  To calculate the amount of time the roller coaster is moving, you simply need to solve the expression found in (a). Dividing 61 to both sides:

$\frac{3118}{61} =\frac{61*x}{61}$

51.11 seconds=x

The amount of time the roller coaster is in motion is 51.11 seconds.