how would i solve for force when there are multiple accelerations?

Question

anonymous · Answer

would i solve for each acceleration seperately then add all forces to get the sum of forces

sohailiftikhar · Answer

can you give some kind of example to understand your Question's condition properly ???

anonymous · Answer

A 500 kg alien UFO is hovering about the surface of Earth. At a time t, its position can be given as 
x=15t+23, y=t^4-2t^3, z=18t^2-1
What net force must be acting on the UFO at 
time t = 2 seconds? Express your answer in vector format. What is its magnitude?
@sohailiftikhar

sohailiftikhar · Answer

just find their velocities 1st by taking derivatives of every equation ...
w.r.t (t) then find Accelration by dividing each velocity by given time i.e t=2sec 
then add all accelration and multiply them with mass you will get magnituad of total force ...
and you can also find F1 on x-axis F2 on y-axis and F3 on z-axis by equation F=ma1 , F2=ma2 , F3=ma3 then add them ...