Question #330615

A boy in a hot air balloon drops his cellular phone when the balloon is 150 ft above the ground and rising at the rate of 10 ft/s.

a.How long will it take the cellular phone to reach the ground?

b. With what speed will it strike the ground?


1
Expert's answer
2022-04-19T04:40:55-0400

a. h(t)=150+10t16t2.h(t)=150+10t-16t^2.

h(t)=0150+10t16t2=0t=5+25+960032=3.39s.h(t)=0 \to 150+10t-16t^2=0 \to t=\frac{5+\sqrt{25+9600}}{32}=3.39 s.

The cellular reaches the ground in 3.39 seconds.


b. v(t)=1032t.v(t)=10-32t.

v(3.39)=10323.39=98.48ft/s.v(3.39)=10-32*3.39=-98.48ft/s.



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