Question

a hot air balloon ascended to a height of 35 meters 2 minutes after launch after some time the ballons altitude began to change by -3¼ meters every 9 minutes to avoid a tree the hot air ballon flew up by 5½ meters what is the new altitude of the hot air balloon

Answer 1

Our objective for this case is find the final altitude for this problem

The first distance is x1=35 m after 2 min =120 sec

The second distance is :

`x_2=-(13)/(4)(m)/(mi)\cdot9\min =-(117)/(4)m`

Then flight up:

`x_3=5(1)/(2)m=(11)/(2)m`

Then the final altitude would be:

`x_1+x_2+x_3`

And replacing we got:

`35m-(117)/(4)m+(11)/(2)m`

And after we operate we got:

`(45)/(4)m=11.25m`