1. The problem statement, all variables and given/known data Person X jumps off a cliff from a height of h to the ground. On the way down X fires off a boaster which has a positive acceleration compared to gravity. Find in terms of t(time in seconds), mass, and gravity 2. Relevant equations x=x0+(vt^2)+1/2(at^2) F=ma 3. The attempt at a solution i chose this equation based on the fact that it uses time coord (x) will eventually = zero, or (x0) will = zero the initial velocity will also be zero, which brings me to the simplified equation of x = 1/2(at^2) With that in mind I can push everything around to sqrt(2a) = t but I haven't been able to solve for (a) Fnet=F(gravity)-F(propellent) a=(F(gravity)-F(propellent))/m a=(mg-F(propellent))/m I'm thinking i have to integrate the acceleration of the boaster due to it not being constant but I am just stuck.