Hey Everyone
Hoping I can just get an explanation of how to tackle projectile motion questions... I have Physics trials tomorrow and I'm having some difficulty with separating Horizontal and vertical components and which formulas to use etc.
Thanks again, Charlie.
The motion questions should be on a formula sheet (pretty standard but I didn't do HSC so can't be sure). Note this is from a VCE perspective
You usually have to tackle the horizontal and vertical components separately.
If you're given the velocity at an angle, you have to figure out the magnitude of the velocity in each direction. I remember, if it's the adjacent side it's hypotenuse * cosx if it's opposite then hypotenuse *sine(x) (SOH CAH TOA, and sinx=O/H so O=Hsinx). Basically just resolve into each direction whichever way you remember
Vertically, gravity is the force acting on the object, the acceleration of which is g (9.8 ). Remember to take into account directions, if you're taking up as positive gravity will be negative and vice versa. This is typically the only force acting on it so g is the only acceleration you have to worry about.
So vertically, you know a, and you should know 2 other variables (typically initial velocity and distance - remember to take into account directions). From this you can find the vertical component of its velocity as it hits the ground, or the time it's in the air (common), or whatever other variable they want you to calculate. The vertical component is what determines the time in the air, as the object will continue travelling horizontally until it hits the ground.
Horizontally, there's no force acting on it (usually). This means its speed won't change! So you can calculate the horizontal distance it travelled (s=vt), and the velocity will stay constant. This is usually the only horizontal thing you'll have to do.
If they want you to find the velocity it hits the ground at, you can use the horizontal velocity and vertical velocity and use pythag to find the overall velocity (V
2=V
horizontal2+V
vertical2)
Also, there's some symmetry in projectile motion. Keep in mind if you throw a ball up, it'll fall back in your hand with the negative of that velocity, so if an object is thrown at an angle at a certain velocity, it will land at the negative of that velocity (provided it doesn't travel any distance vertically)
Hope this helps and feel free to ask for anything more