Velocity formula w/ radical expression and square root -- PLEASE HELP!

[GloriaG]

I am having trouble with this homework problem:

1. The maximum velocity of a roller coaster depends on the vertical drop from the top of the highest hill to the bottom of that hill. The formula v=8 sqrt h gives the relationship between maximum velocity, v (in feet per second), and height, h (in feet).

a.) What is the domain of the equation? (What is the value that h cannot be?)

I know I must set my formula to >= 0, however I don't know how to solve for the domain?



b.) What is the maximum velocity of the Magnum XL-200 roller coaster in Sandusky, Ohio, when height is approximately 203 feet?
Here I believe I plug in 203 for h into the equation?


Any help would be very, very appreciated! Thank you in advance.

 

[Steven G]

I am having trouble with this homework problem:

1. The maximum velocity of a roller coaster depends on the vertical drop from the top of the highest hill to the bottom of that hill. The formula v=8 sqrt h gives the relationship between maximum velocity, v (in feet per second), and height, h (in feet).


a.) What is the domain of the equation? (What is the value that h cannot be?)
I know I must set my formula to >= 0, however I don't know how to solve for the domain?



b.) What is the maximum velocity of the Magnum XL-200 roller coaster in Sandusky, Ohio, when height is approximately 203 feet?
Here I believe I plug in 203 for h into the equation?


Any help would be very, very appreciated! Thank you in advance.

actually the domain is what h can be or all real numbers except what h can't be.
So which numbers can/can't h be? You can easily do this!

 

[Ishuda]

I am having trouble with this homework problem:

1. The maximum velocity of a roller coaster depends on the vertical drop from the top of the highest hill to the bottom of that hill. The formula v=8 sqrt h gives the relationship between maximum velocity, v (in feet per second), and height, h (in feet).


a.) What is the domain of the equation? (What is the value that h cannot be?)
I know I must set my formula to >= 0, however I don't know how to solve for the domain?



b.) What is the maximum velocity of the Magnum XL-200 roller coaster in Sandusky, Ohio, when height is approximately 203 feet?
Here I believe I plug in 203 for h into the equation?


Any help would be very, very appreciated! Thank you in advance.

Domain (of a function) means for the independent variable (the one you choose a value for). Range means for the dependent variable which is the one that is calculated after you choose the independent variable.

a.) h is the independent variable so what can h be?

b.) Yes, just plug in 203 for h into the equation. Since the 203 is approximate, the maximum speed is then approximate.

 

[GloriaG]

actually the domain is what h can be or all real numbers except what h can't be.
So which numbers can/can't h be? You can easily do this!

So for a.) would the domain in interval notation be [0, infinity)? As h can be all real positive numbers (it can't be negative)?

and for b.) I get:

v= 8 sqrt h
v=8 sqrt 203
v= 114 (approx)


Thank you both for your help Ishuda and Jomo!