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Dekoy
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Homework Statement
A projectile is being launched from ground level with no air resistance. You want to avoid having it enter a temperature inversion layer in the atmosphere a height h above the ground.(a) What is the maximum launch speed you could give this projectile if you shot it straight up?Express your answer in terms of h and g.
Homework Equations
According to me the equation that applies is h(t)=Yi+Vit-(1/2)gt2
The Attempt at a Solution
I'm lost in this problem I tried doing it as an optimization problem from Calc. I but it just didn't make sense. The other thing I did was solve for Vi in the above equation but it din't give me anything close to the answer in the book I got Vi=(h+4.905t2)/t and the answer in the back is (2gh)(1/2). Any help will be appreciated, Thanks.