not sure if what I'm thinking is correct but its an idea:
a= dv/dt so we know dv/dt = -.05v^2. We can integrate that to get the velocity function.
once we have the velocity function we can integrate again since v(t) = ds/dt. we have initial conditions. its just an idea.
right F = Fx + Fy where Fx = Fcos(theta) + FSin(theta) relative to the coordinate system. Once you find all the components you can add all the Fx's and Fy's
You're on the right track. You are looking for the initial velocity of ball B. We know the displacement (15ft), we know the acceleration (-32.2 ft/(s^2)) and you found the time it takes to travel this distance (1.115 s) it takes to reach that value. Which equation would you chose, to solve...
The direction of the E-field is taken to be the direction of the force it would exert on a positive test charge so when you draw a diagram with a positive test charge how would the forces from the q1 and q2 be acting on it? In the same direction or opposite?
if i remember, the atom becomes more stable when a subshell is either fully filled/half filled. so with the 3d6 loses one electron to make it half full and places it in the 4s subshell to make that half filled as well making the atom more stable.
once you choose one person then you can't choose them again...therefore if you were to choose 3 people out of 10...you have 10 to choose from first, then 9 to choose from and 8 for the third choose. Therefore you have 10 x 9 x 8. I hope that's right?
I am not really sure of how to do this but looking at your last line, I think you messed up taking the second derivative of x^2/(1-x) since you need to use the quotient rule, the (1-x) should be squared on each derivative