The system of equations [tex]y = -16x^2+60x+3\\y=-16x^+55x+2.5[/tex] models the projectile motion of the two balls. option C is correct.
Laura and Kennedy are at softball practice. Laura hits a ball that is 3 feet above the ground with an initial upward velocity of 60 feet per second. Kennedy hits a ball that is 2.5 feet above the ground with an initial upward velocity of 55 feet per second. The projectile equations is to be determined.
What is the projectile motion?
Projectile motion is the movement of an entity projected into the space. After the initial force that launches the object, it only experiences the force of gravity. The object is called a projectile, and its path is called its trajectory.
Projectile equation = vertical motion + horizontal motion + intercept.
Laura hits a ball that is 3 feet above the ground with an initial upward velocity of 60 feet per second.
y = gx²/2 + v*x + 3
y = -32/2 * x² + 60x + 3
y = -16x² + 60x + 3
Similarly, Kennedy hits a ball that is 2.5 feet above the ground with an initial upward velocity of 55 feet per second.
y = -16x² + 55x + 2.5
Thus, the system of equations [tex]y = -16x^2+60x+3\\y=-16x^+55x+2.5[/tex] models the projectile motion of the two balls. option C is correct.
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