Hot air balloon

A hot air balloon ascends 25 meters up for a minute after launch. Every minute ascends 75 percent of the height, which climbed in the previous minute.

a) how many meters ascend six minutes after takeoff?
b) what is the overall height 10 minutes after launch?
c) how long does the balloon take to gain over 110 meters high?
d) what will be the final height of the balloon?

Correct answer:

a =  5.93 m
b =  94.37 m
t =  NAN min
d =  100 m

Step-by-step explanation:

q=75/100=0.75 Δs(t)=250.75t1 a=Δs(6)=250.7561=5.93 m
b=s6=a1q1q61=250.7510.7561=94.37 m
st=25q1qt1=110 qt1=110(q1)/25 qt=110(q1)/25+1 tlogq=log(110(q1)/25+1) t=NAN min 
d=sinf=1qa1=10.7525=100 m

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