when a skydiver jumps from an airplane, the distance of d in feet the diver falls in t seconds before opening the parachute is given by the formula d=16t^2 (the formula asumes that there is no air resistance) find the time it takes a skydiver to fall 1,296ft before openening the parachute.
1296 = 16 t^2
Divide both sides by 16.
81 = t^2
Get square root of both sides.
To find the time it takes for a skydiver to fall 1,296 feet before opening the parachute, we can use the given formula:
d = 16t^2
We need to solve this equation for the value of t when d = 1,296. Let's substitute the values into the equation:
1,296 = 16t^2
Now we can solve for t. First, divide both sides of the equation by 16 to isolate the variable:
1,296/16 = t^2
81 = t^2
To solve for t, we need to take the square root of both sides of the equation:
sqrt(81) = sqrt(t^2)
±9 = t
Since time cannot be negative in this context, we take only the positive value:
t = 9
Therefore, it takes 9 seconds for the skydiver to fall 1,296 feet before opening the parachute.