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Answer:
9.72 seconds ( approx )
Step-by-step explanation:
Since, the equation that shows the height of the rocket from the ground,
y=-16x^2+143x+121y=−16x
2
+143x+121
Where,
x = time after launch, in seconds,
When the rocket hits the ground,
y = 0,
i.e.
-16x^2 + 143x+12=0−16x
2
+143x+12=0
By the quadratic formula,
x = \frac{-143\pm \sqrt{(143)^2 - 4\times -16\times 12}}{-32}x=
−32
−143±
(143)
2
−4×−16×12
x = \frac{-143\pm \sqrt{20449 + 7744}}{-32}x=
−32
−143±
20449+7744
\implies x = -0.778\text{ or }x=9.716⟹x=−0.778 or x=9.716
∵ Time can not be negative,
So, the time taken to hit the ground = 9.716 seconds ≈ 9.72 seconds.
Step-by-step explanation:
그것이 당신에게 도움이되기를 바랍니다 :)