How long, in time `t`, will it take the tool to fall to the ground (in seconds)?

solve 0 = -16t^2+50

1 answer

To find the time it will take for the tool to fall to the ground, we need to solve the equation:

0 = -16t^2 + 50

First, let's add 16t^2 to both sides to isolate the variable t:

16t^2 = 50

Next, divide both sides by 16 to solve for t:

t^2 = 50/16

Simplifying further:

t^2 = 25/8

To solve for t, we take the square root of both sides:

t = ±√(25/8)

t = ±5/√8

Now, we can approximate the value of t:

t ≈ ±1.768

Since time cannot be negative in this context, we take the positive value:

t ≈ 1.768 seconds

Therefore, it will take approximately 1.768 seconds for the tool to fall to the ground.