the distance d in feet that an object falls in t seconds is modeled by the formula d=16t^2. if you drive from height of 120 feet, how long will it take to hit the water ?
I assume you mean dive.
120 = 16t^2
Solve for t.
To determine how long it will take for the object to hit the water, which is synonymous with the distance being 0, we can set the formula for distance to 0 and solve for time.
The formula for distance is given as: d = 16t^2
Substituting the given distance of 0 feet: 0 = 16t^2
To solve for time, we need to isolate the variable t. To do this, we can divide both sides of the equation by 16: 0/16 = (16t^2)/16
Simplifying the equation: 0 = t^2
Next, take the square root of both sides of the equation to find the value of t: √0 = √t^2
Since the square root of 0 is 0: 0 = t
Therefore, it will take 0 seconds for the object to hit the water.