For the triangle APB, the base length is distance AB and the height you get using the perp dist eqn using P and x-y+6=0.
Using area=bh/2, you can get an equation for the area in terms of p, which you can differentiate and find the max value of.
Evaluate the given integral and show that the max...
Let the length PA = x. Therefore QA = p-x.
If you sub in all your values, you get a quadratic equation in x with p as a constant. The use quadratic equation.
The reaction force is always in the opposite direction of the applied force. The normal force is perpendicular to the surface that the object is in contact with.
oh ok so for escape velocity if you were to throw an object away from a planet at escape velocity, it would break free from the gravitational attraction. This implies that it would never come back down. It keeps going until it reaches the "peak" of its motion where it final velocity is 0...
same thing. multiply both sides by 3 then move the y over. the form they gave you is the general form and the answer you got is the gradient-intercept form.