Re: Don't understand concept of P(AB) in non-mutually Exclusive Events - Probability
Conditional probability isn't in the course. Don't worry about it until uni.
No air resistance, 'g' is constant (otherwise the trajectory would not be parabolic) and the speed of the ball is much less than the speed of light (otherwise you'd need to consider relativistic effects)
t=2u sin theta / g = 2 * 10 * sin30deg / 9.8 = 1.02 s
2b=10 so b=5
a=4 (from a diagram, at position PS = PS' figure forms a 3,4,5 triangle)
An ellipse with foci at (0,3) and (6,3) and major axis length 5 units and minor axis length 4 units and y axis is the major axis.
If z_1, \ z_2, \ z_3 lie on a circle through that passes through the origin then prove that the points representing \frac{1}{z_1}, \ \frac{1}{z_2}, \ \frac{1}{z_3} are collinear (ie. lie on a straight line).
I have a solution for this that uses one circle geometry theorem. I'm sure there's a...
Well I don't mind the font. But imagine in the 1960's when everyone had to use that book for HSC maths. Not a pretty sight since everyone I know depises the font in Coroneos :P
Draw a diagram showing the forces on the mass (ie. weight, mg and Tension, T) and indicate the positive direction.
If upwards is positive then:
0.5 * 1.5 = T - mg
T = 0.5*1.5+1.5*9.8 = 15.45 N upwards
BTW this is in the preliminary course.
Breaks are a waste of time in my opinion. But that's just me. Last semester I think I had too many. You never work in them and get side-tracked. I made some friends though...