I tried to solve using trigonometry.
Let angle between line CA ad BA be theta and angle between BA and AC be alpha.
30sin theta= 40 sin alpha
30 cos theta + 40 cos alpha + 2vt=50
I have no idea how to proceed after this.
The acceleration would have to be expressed as a function of time and various answers can be gotten for different functions. However, I am going to assume that you mean the acceleration is constant and that the truck started from rest. using second equation of motion, 1/2 at2 - ut=s
u=0, t=1,s=1...
I simply don't know where I'm going wrong in this. lets for example say y=2x. dy/dx=y/x=2
now if we look at only the differential equation we see that dy/y=dx/x, solving we get x=y
I have no idea how this is happening, please , if possible guide my foolish thoughts to where I have gone wrong.
I solved the for time but for distance am quite confused on why the approach im trying doesn't work.
First, let acceleration=w
w=-a√v
w=dv/dt=-a√v
rearranging, √v dv=-a dt
integrating both sides,
v0V∫√v dv=0T∫-a dt
where V is some arbitrary velocity at time T.
we get, (2√V)-(2√v0)=-aT------eqn...
i really didn't want to find the answer per se i just wanted to see if an expression could be found which is the cause for the bizarre numbers. I really thought a solution could be attained pehaps.