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.