The reasonable time for it to take the baseball to land on the
ground is 7 seconds ⇒ A
Step-by-step explanation:
A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be represented by the quadratic equation h(t) = -16t² + 80t + 224, where
- t represents the time in seconds that the baseball has been in the air
- h(t) represents the baseball's height in feet
We need to find the reasonable time for it to take the baseball to land on the ground
∵ The factorize of the equation above is h(t) = -16(t - 7)(t + 2)
∵ h(t) represents the baseball's height in feet
∵ When the baseball land on the ground h(t) = 0
∴ -16(t - 7)(t + 2) = 0
- divide both sides by -16
∴ (t - 7)(t + 2) = 0
- Equate each factor by 0 to find the value of t
∵ t - 7 = 0
- Add 7 to both sides
∴ t = 7 seconds
∵ t + 2 = 0
- Subtract 2 from both sides
∴ t = -2 ⇒ rejected because there is no -ve values for time
∴ t = 7 seconds only
The reasonable time for it to take the baseball to land on the
ground is 7 seconds
Learn more:
You can learn more about the trajectory equations in brainly.com/question/1748290
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