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ex81
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Homework Statement
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
Homework Equations
x=x0+(vt^2)+1/2(at^2)
F=ma
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.