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1. Eliminate friction for banking car

You are trying to find the optimal speed for making the turn without the force of friction. Therefore, this force does not need to be considered in your calculations. You are dealing with the force of gravity and the normal force only. There is centripetal force, of course, but this is...
2. Expand and simplify this formula

The question you were confused on can be rewritten as 2(3+2a) + 2a, which is the same format as your other problems. See how this is different than what you originally solved, which was (2+2a)(3+2a)?
3. Throwing a rock off a cliff

If you are throwing something horizontally, the throw is at a right angle to the ground.
4. Linear Momentum: Rocket Explosion

Homework Statement A 975-kg two-stage rocket is traveling at a speed of 5.80 x 103 m/s with respect to Earth when a predesigned explosion separates the rocket into two sections of equal mass that then move with a relative speed (relative to each other) of 2.20 x 103 m/s along the original line...
5. Throwing a rock off a cliff

You have to be sure that you separate your x and y components. If the rock is being thrown horizontally, v0x = 23.0 m/s and v0y = 0 m/s. See what I mean? You will have to use trig to find the final velocity (usually the inverse tangent of vy and vx). Some other useful functions (I've written...