For the
avg Thrust of 2 kN,
burn time = 3.5 s,
burn rate= 1.4,
over the time diff of
dt = 0.1 sec
Isp = 140 sec
Cd for the Ogive nose cone C-section = 0.75
Cross-sec Area of the ogive nose cone = 0.155 m2.
I am using the equations
Velocity, $$v = I_{sp}\cdot g \cdot ln(m_o/m_f) - g \cdot t$$
acceleration $$ a= Thrust/V_(exhaust) $$
height $$h= I_{sp}\cdot g \cdot t \cdot (1-ln(m_o/m_f)/[(m_o/m_f) - 1 ]) - 0.5g\cdot t^2$$
When I add the drag force to this calculation: Can I use the net velocity attained as:
net velocity,$$ v_n = v - a_d \cdot t $$
where, deceleration due to drag, $$ a_d = Drag-force/mass $$
Similarly, how do I update the equation for the height? Do I just find the net acceleration and use equations of motion instead
$$ h= (v^2 - u^2)/(2a_n)$$ an = net acceleration
Thank you all, for being so helpful with responses. I have been stuck for a while on it and the launch is nearing. :)