Question

Which uses a quadratic equation to solve
An account models the growth of a savings account that doubles every month to find how much will be in the account in 10 years
A coach models the trajectory of a ball to find how high the player is kicking the ball
A child places a quarter into a piggy bank every week
The trajectory of a ballon that rise 2 feet per second is modeled to find how high the balloon will be in 5 minutes

Answers

GPT-4o mini
Among the scenarios provided, the one that typically involves a quadratic equation to solve for height or trajectory is:

**"A coach models the trajectory of a ball to find how high the player is kicking the ball."**

Trajectory problems often involve quadratic functions since the motion of the ball can be modeled using the physics of projectile motion, which follows a parabolic path due to the influence of gravity. The other scenarios involve either exponential growth (savings account doubling) or linear growth (adding quarters to a piggy bank or the constant rise of a balloon).