00:01
The height h of the object after t seconds can be found using the equation h is equal to negative 16 t squared plus 78t plus 19.
00:10
So it's a vertical motion model.
00:12
This is a quadratic equation.
00:14
When will the height be 78 feet? so we can solve this by graphing.
00:20
So i graphed the equation on desmos .com.
00:25
Remember the vertical axis is our height and the horizontal axis is our time.
00:30
T seconds, okay? so in desmos, it is x and y.
00:34
So x representing the t, the time, the seconds, and y representing the height.
00:39
So if we were to graph the function, our quadratic and blue, and we were to graph y is equal to 78, that represents our height, the x coordinate is representing our time when the object is at a height of 78 feet.
00:54
So rounded to two decimal places, when will the height be 78 feet? the height will reach 78 feet at t equals 0 .94 seconds and at t equals 3 .94 seconds...