## Maximum altitude of a rocket if launched vertically

1. The problem statement, all variables and given/known data

The missile has maximum horizontal range of 160km. What is the maximum altitude it can reach if launched vertically?

2. Relevant equations

v2=u2 +2as

3. The attempt at a solution

v=0 (because the velocity is zero when it is not rising anymore)
u=0
a= -9.8 (up is the positive direction

That is how I thought I am supposed to do it...

By the way you guys do a great job on these forums, I lurk here a lot :)
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 Quote by karan01 The missile has maximum horizontal range of 160km.
You can extract the information you need from that line. How do you achieve maximum horizontal distance with a projective under gravity?

Also are you sure initial velocity, u, should be zero?
 apply the formula for calculating the maximum range. From there u will get the Velocity of the projectile.

 Tags horizontal, launch, range, rocket, vertical