The answer is x = {-1, 9}
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Answer: A projectile reaches its highest point when its vertical velocity component is zero.
Step-by-step explanation:
In projectile motion, objects moves in parabolic path.
Projectile motion is a type of motion in which an object moves in a bilaterally symmetrical, parabolic path. Projection motion happens when the force is applied at the start of the trajectory (where the object follows) which follows an interference which is gravity. Gravity takes over and afterwards the object accelerates downwards. The acceleration is constant so the vertical velocity (Vy) varies linearly. The maximum height of the projectile which is the highest height is reached when the vertical velocity (Vy) is equal to zero.
After the projectile reaches its maximum height which is its highest point, it begins to drop downwards.
ANSWER
The solution is
EXPLANATION
The given equations are:
and
We multiply equation 1 by 3 to get,
We multiply equation 2 also by 2 to get,
We subtract equation 4 from equation 3 to get,
This implies that,
We put this value of y into any of the equations say equation 2
Simplify
Group like terms
Simplify,
Divide both sides by 3 to get,
Therefore the solution is
The correct answer is option D.
Answer:
Step-by-step explanation:
Answer:
Data
Equation 25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse
3.- Find a, b and c
a² = 64 a = 8
b² = 25 b = 5
-Calculate c with the Pythagorean theorem
a² = b² + c²
-Solve for c
c² = a² - b²
-Substitution
c² = 8² - 5²
-Simplification
c² = 64 - 25
c² = 39
-Result
c = √13
4.- Find the center
C = (0, 0)
5.- Find the vertices
V1 = (-8, 0) V2 = (8, 0)
6.- Find the foci
F1 = (-√13, 0) F2 = (√13, 0)
