Answer: To find the number of seconds it takes for the object to reach the ground, we can use the equation for the height of the object, which is h = -16t + 324. In this equation, h represents the height of the object and t represents the time in seconds.
When the object reaches the ground, its height will be zero. So, we can set the equation -16t + 324 = 0 to find the time it takes for the object to reach the ground.
To solve for t, we need to isolate the variable t on one side of the equation. First, let's subtract 324 from both sides of the equation:
-16t + 324 - 324 = 0 - 324
Simplifying this equation gives us:
-16t = -324
Next, we can divide both sides of the equation by -16 to solve for t:
(-16t) / -16 = (-324) / -16
Simplifying further gives us:
t = 20.25
Therefore, it will take approximately 20.25 seconds for the object to reach the ground.
It's important to note that in this equation, the coefficient -16 represents the acceleration due to gravity, and the constant term 324 represents the initial height of the object. By setting the equation equal to zero, we can find the time when the object's height becomes zero, which corresponds to the moment it hits the ground.
I hope this explanation helps! If you have any further questions, feel free to ask.
Explanation: