A ball is dropped from a height of 784 ft. It's height h, in feet, after t seconds is given by h(t)=784-16t^2. After how long will the ball reach the ground?
3 Answers
Explanation:
So here height is given as function of time, and I want to know when the height is equal to 0, so set it equal to 0:
The goal here is to solve for
Subtract
Divide by
Square root both sides:
Since time can't be negative:
graph{-16x^2+784 [-10, 10, -5, 5]}
Explanation:
Since you are trying to find when the ball hits the ground,
Explanation:
The height of the ball is given by the function
When the ball is on the ground, we can say that its height is
And so,
But since
So, it'll take seven seconds for the ball to hit the ground.