Question

Select the correct answer.

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.

If x is the time, y is the height of the ball, and the acceleration due to gravity is -32 feet per square second, which system of equations models the projectile motion of the two balls?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The equation for the height of an object in projectile motion can be modeled using the equation:

y = y0 + v0t + (1/2)gt^2

Where:
- y is the height at time t,
- y0 is the initial height,
- v0 is the initial velocity, and
- g is the acceleration due to gravity.

Based on this equation, the system of equations that models the projectile motion of the two balls are:

For Laura's ball:
y1 = 3 + 60t - 16t^2

For Kennedy's ball:
y2 = 2.5 + 55t - 16t^2

So, the correct system of equations that models the projectile motion of the two balls is:
y1 = 3 + 60t - 16t^2
y2 = 2.5 + 55t - 16t^2