A toy rocket launched vertically into the air has position function s(t) = 64
p
t 8t
2
, where
s = 0 is the ground, s is measured in meters and t 0 is measured in seconds

Question

A toy rocket launched vertically into the air has position function s(t) = 64
p
t  8t
2
, where
s = 0 is the ground, s is measured in meters and t > 0 is measured in seconds

anonymous · Answer

ok... ?? what's the question and rewrite the position function

anonymous · Answer

a toy rocket launched verticallly into the air position fluttertion s(t)=64squareroot(t) -8t^2 where s=0 on the ground, s is measured in meters and t .0 is measured in seconds.

a. how many seconds does the rocket spend traveling upward?
b. after how many seconds teh rocket return to teh ground
c.what is the maximum height reached bbyt the rocket?

anonymous · Answer

A. set the function equal to 0 and solve for t. you get 2 values for t. These values tell you the time at which the rocket is on the ground. One of the values is 0, which is when you start, the other value is when it comes back and hits the ground. Divide that value by 2 since the time it takes to go up is the same as the time it takes to go down. 
So, t/2 is how long it spends traveling upwards.

B. this is just the numerical value of t

C. Here, you solve for S when t=t/2. In other words, plug the answer you have in part A into the position function and solve for S