Airplane Ascent

[nycmathguy]

Section 4.8

I need the set up only for parts (a) and (b). Thanks.

 

[MathLover1]

(a) Find the plane's altitude after 1 minute.

convert 260 feet per second to minutes per second and find the distance d the plane has traveled after one minute
altitude sin(18)=h/d

(b) How long will it take the plane to climb to an altitude of 10,000 feet?

Time, t, to 10000 ft =

sin18 = 10000/ [275t ]

 

[nycmathguy]

(a) Find the plane's altitude after 1 minute.

convert 260 feet per second to minutes per second and find the distance d the plane has traveled after one minute
altitude sin(18)=h/d

(b) How long will it take the plane to climb to an altitude of 10,000 feet?

Time, t, to 10000 ft =

sin18 = 10000/ [275t ]

Thanks. I will work it out on paper.

 

[nycmathguy]

(a) Find the plane's altitude after 1 minute.

convert 260 feet per second to minutes per second and find the distance d the plane has traveled after one minute
altitude sin(18)=h/d

(b) How long will it take the plane to climb to an altitude of 10,000 feet?

Time, t, to 10000 ft =

sin18 = 10000/ [275t ]

Can you do part (a) for me?

Here is part (b).

sin (18) = (10,000)/(275t)

275t = (10,000)/[sin (18)]

t = (10,000)/[sin (18)] ÷ 275

t = (1600)/[11• sqrt{5} - 1]

t = 67.80595

t = 67.81 seconds.

You say?

 

[nycmathguy]

(a) Find the plane's altitude after 1 minute.

convert 260 feet per second to minutes per second and find the distance d the plane has traveled after one minute
altitude sin(18)=h/d



(b) How long will it take the plane to climb to an altitude of 10,000 feet?

Time, t, to 10000 ft =

sin18 = 10000/ [275t ]