please explain to me, how to do this question? i have 3 more similar questions?

Question

an airplane is flying at a speed of 365mi/h at an altitude of 3 miles and passes directly over a radar station at time t=0
express the horizontal distance d(in miles) that the plane has flown as a function of t
please help me, i must understand how to do it
thank u so much. God bless u

this is not for my assignment. i am just trying to do the questions in my textbook.
i do pay attention in the class, but it was not clearly explained!!!

Answer 1

the question wants you to find the the equation that will describe the distance of the plane from the radar station, the 3 mile altitude is unimportant because it only asks for the horizontal distance.

if the plane is travelling at 365 mi/hr, that means that if an hour it will have travelled 365 miles. To make this an equation for distance you can multiply a speed * time to get distance.

365 mi / hr * t hr = distance in mi

the hr unit in the denominator of speed will cancel out with the hr of t or time.

giving you a distance in mi or miles

this equation works for t = 0 above the radar, for a distance horizontally from the radar, if you have questions that say the plane is starting a particular distance ahead or behind the radar when t=0, then you must add or subtract a constant distance with respect to the radar station

<365mi/hr------plane---------------| t=0
^---distance----^
-)
radar

means that
365 * t = distance from radar


<365mi/hr-----plane---------|t=0--------|
^---distance---^--initial--^
-)
radar
distance with respect to the radar would be
365 * t + initial distance = total distance

sadly my images will not show due to uahoo not allowing the full length to shows properly :(
my apologies

Answer 2

What is the distance between the plane and the radar station after the time the plane passes overhead the radar station in an altitude of 3 miles in the speed of 365 mi/hour within an hour?

Answer 3

The way I read the question, it doesn't matter than it passed over a radar station, or how high it is, or any of the other little details. Distance is speed multiplied by time, if speed is constant.

Answer 4

if the plane is flying in a straight line at 365mph then using the equation

s=d/t

We can sat that the distance travelled is simply

d = s*t

Assuming it's going at constant velocity the answer i guess is just

distance(t) = 365*t

where t is in hours

if you want seconds, you need to work out how many miles the plane does in one second (just divide 365 by 3600)

Hope that helps

Answer 5

In general, distance = rate * time.

D = 365 mi/hr * t = f(t)

Basically, whatever value for t (the function of t), multiply by 365 mi/hr to get the distance D.

I'm not sure how to account for the altitude, or if you even need to.

Answer 6

If you expect us to do it, then why don't you leave us the notes you got from class? I mean, we can't do this at the top of our heads either. What do you think, the whole world consists of geniuses?

Next time, pay more attention in class. :-)

Answer 7

I have plenty of moments in class where things aren't clearly explained. My solution: raise my hand and say "I don't get it".

I am not sure of this answer, but I am simply giving you advice for when you don't get something in class.

Answer 8

Last minute homework assignment; didn't pay attention in class; bummer!