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

Respuesta :

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 :

[tex]x_2=-\frac{13}{4}\frac{m}{mi}\cdot9\min =-\frac{117}{4}m[/tex]

Then flight up:

[tex]x_3=5\frac{1}{2}m=\frac{11}{2}m[/tex]

Then the final altitude would be:

[tex]x_1+x_2+x_3[/tex]

And replacing we got:

[tex]35m-\frac{117}{4}m+\frac{11}{2}m[/tex]

And after we operate we got:

[tex]\frac{45}{4}m=11.25m[/tex]