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Factoring
Factoring helps describe or find the path of a projectile because it can show you where the vertex and x intercepts are. If you can break down the equation then you can use that to find other points on the path. By plugging in other x values you can create a graph to visually see the path. -
Quadratic Formula
The quadratic formula is x= -b+OR- the square root of b^2 – 4 (a)(c) over 2(a). This will tell you where your x intercepts are. So you could start with the equation 0=2x^2+4x-18 and from there you could see that a=2 b=4 c=18 and then you could plug them into the quadratic formula and it would look like x=-(4)±√(4)^2-4(2)(18) over 2(2) and then you’d break it down to x=-4±√128 over 4. Then the next step would be to do 4+√128 and you would get 15.314 and then you would do 4-√128 and you’d get -7.3 -
Projectile Formulas
The two formulas we will be using to calculate horizontal and vertical distance travelled by a projectile are used to find how far the projectile will travel and how fast it will go. The forward velocity equation is the projectiles initial velocity cos(angle of launch) and to find how far it will travel you use the formula forward velocity x t for my projectile my equation was 1007.54 cos(60) which came out to 503.77 then I calculated how far it will travel I did 503.77 x 1.867 and got 940.54. -
Projectile part 2
will travel by taking 503.77 x 1.87 and it came out to be 940.54. So from my calcualtions the projectile will travel at a velocity of 503.77 and will go 940.54 cntimeters. -
2nd ShuttleShooter at Angle
For a 20 degree angle it traveled 88 centimeter, for 45 degree angle it traveled 486 centimeters and for a 60 degree angle it went 385 centimeters. -
Angles of Launch
When the angle is at 45 degrees it will go the farthest. Lower or higher than 45 degrees it will not go as far. When the angle is a higher degree the projectile will go higer but won't go as far. When the angle is lower it will also not go as far or as high.
