SOLUTION: the altitude, A, of an airplane follows a linear model given by A=mt+b where t is the time after takeoff. The plan is 1200ft off the ground at 5 seconds and 3400ft off the ground a

Algebra.Com
Question 1189512: the altitude, A, of an airplane follows a linear model given by A=mt+b where t is the time after takeoff. The plan is 1200ft off the ground at 5 seconds and 3400ft off the ground at 60 seconds. How high is the ground above sea level? What is the rate of increase in altitude over the period of 0 < t < 60
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
the altitude, A, of an airplane follows a linear model given by A=mt+b where t is the time after takeoff. The plan is 1200ft off the ground at 5 seconds and 3400ft off the ground at 60 seconds. How high is the ground above sea level? What is the rate of increase in altitude over the period of 0 < t < 60
------------------------
2 points are given: (5,1200) and (60,3400)
The slope is diffA/difft = (3400 - 1200)/(60-5) = 2200/55 = 40 ft/sec
A = 40t + GL (ground level)
1200 = 40*5 + GL
Ground level = 1000 feet
-----------------
What is the rate of increase in altitude over the period of 0 < t < 60
----
Vertical speed = 40 ft/sec = 2400 ft/min

RELATED QUESTIONS

The altitude, A, of an airplane follows a linear model given by: A = mt + b Where t is... (answered by Alan3354)
A helicopter takes off from the roof of a building that is 225 feet above the ground. The (answered by Solver92311,Alan3354)
a model for the path of a toy rocket is given by h=68t-4.9t(t), where h is the altitude... (answered by stanbon)
a. Sheena sells gourmet pastries on the Internet. In the fourth month of operation, she... (answered by Theo)
After takeoff, an airplane climbs at an angle of elevation of 11° with the ground. To... (answered by Alan3354,Edwin McCravy)
A model for the path of a toy rocket is given by 68t-4.9t(squared), where h is the... (answered by Alan3354)
A pair of skydivers jump out of an airplane 5.5 km. above the ground. The equation... (answered by bucky)
A hovercraft takes off from a platform.Its height (in meters), x seconds after takeoff,... (answered by carrollmary87,ikleyn,Alan3354,greenestamps)
Hayden is playing with a toy airplane. The height of the airplane, in metres, is given by (answered by ikleyn)