A physics student is analyzing the motion of a projectile. T...

Question

A physics student is analyzing the motion of a projectile. The height h (in meters) of the projectile at time t (in seconds) is given by the equation . To find the time when the projectile hits the ground, solve the quadratic equation using the quadratic formula. The time t when the projectile hits the ground is t = _____ seconds.

Question Analysis
This question tests the application of the quadratic formula in a real-world context, specifically in physics. The student needs to identify the coefficients and apply the quadratic formula to find the time when the projectile hits the ground.

Key Concept Explanation
The quadratic formula is used to solve quadratic equations of the form ( ) . The solutions are given by . In this problem, the quadratic equation represents the height of a projectile over time.

Step-by-step Solution
1. Identify the coefficients: , , .
2. Substitute into the quadratic formula:

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