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Jeans123
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An object is dropped from a height of 1700 ft above the ground. The function h=16t^2+1700 gives the object’s height h in feet during free fall at t seconds.
a. When will the object be at 1000ft above the ground?
b. When will the object be 940ft above the ground?
c. What are a reasonable domain and range for the function h?
 one year ago
 one year ago
Jeans123 Group Title
An object is dropped from a height of 1700 ft above the ground. The function h=16t^2+1700 gives the object’s height h in feet during free fall at t seconds. a. When will the object be at 1000ft above the ground? b. When will the object be 940ft above the ground? c. What are a reasonable domain and range for the function h?
 one year ago
 one year ago

This Question is Closed

cruffo Group TitleBest ResponseYou've already chosen the best response.1
both part a and b are asking you to find the time t for a given h. for a, solve the following equations for t: 16t^2 + 1700 = 1000
 one year ago

Jeans123 Group TitleBest ResponseYou've already chosen the best response.0
t=(close to) 1.654 is what I got a.
 one year ago

cruffo Group TitleBest ResponseYou've already chosen the best response.1
I got t = 6.614 16t^2 +1700 = 1000 16t^2 = 700 t^2 = 43.75 then take square root of both sides
 one year ago

Jeans123 Group TitleBest ResponseYou've already chosen the best response.0
1000=16t^2+1700 700=16t^2 _/700=_/16t^2 26.458/16=16t/16 t=1.654 is what I did
 one year ago

cruffo Group TitleBest ResponseYou've already chosen the best response.1
You need to divide by 16 first, before you take the square root.
 one year ago

Jeans123 Group TitleBest ResponseYou've already chosen the best response.0
Okay got a. and b. now I just need c.:)
 one year ago

cruffo Group TitleBest ResponseYou've already chosen the best response.1
Domain = what values of time would be used here? t > 0, since negative time not reasonable. And you probably need to find when the ball hits the ground, since after that time, the ball would be underground.
 one year ago

Jeans123 Group TitleBest ResponseYou've already chosen the best response.0
1700=16t^2 _/106.25=t^2 t=10.3078 Is what I got for how long it takes to hit the ground.
 one year ago

cruffo Group TitleBest ResponseYou've already chosen the best response.1
Cool. So the a reasonable domain is from 0 to 10.3078.
 one year ago

cruffo Group TitleBest ResponseYou've already chosen the best response.1
Range: what values of height seem reasonable? h > 0, because negative height would mean that the ball was underground. And ... since the ball was "dropped" from a height of 1700 (vs being "thrown up" from a height) the maximum height would be 1700. So ... a reasonable range would be from 0 to 1700.dw:1352328021424:dw
 one year ago

Jeans123 Group TitleBest ResponseYou've already chosen the best response.0
Thank you that helped a lot! I have one more question to post can you help me with it?
 one year ago

cruffo Group TitleBest ResponseYou've already chosen the best response.1
sure, I'll look for you.
 one year ago
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