Answer: 1.4 seconds
<u>Step-by-step explanation:</u>
The equation is: h(t) = at² + v₀t + h₀ where
- a is the acceleration (in this case it is gravity)
- v₀ is the initial velocity
- h₀ is the initial height
Given:
- a = -9.81 (if it wasn't given in your textbook, you can look it up)
- v₀ = 12
- h₀ = 3
Since we are trying to find out when it lands on the ground, h(t) = 0
EQUATION: 0 = 9.81t² + 12t + 3
Use the quadratic equation to find the x-intercepts
a=-9.81, b=12, c=3

Note: Negative time (-0.2) is not valid
Let X represent the length of the chord.
By using Pythagoras' Theorem:
4^2 + (X/2)^2 = 15^2
(X^2)/4 = 209
X^2 = 836
X = 28.91
It’s C because the y-intercept is where the point intersects on the y-axis and the slope goes up one and over 2 to the left making it negative