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Alex_Xolod [135]
3 years ago
6

Which one of the following statements is NOT true of a free-falling object? An object in a state of free fall ____.

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0
Hi! C and D are not the answers, because they do fall downward and with the force of gravity. It does fall with an acceleration of -10 m/s. The object actually falls faster as it gets closer to ground and above 10 m/s, so the speed is not constant. The answer is A.
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Ksivusya [100]

Answer:

Discriminant = 55.2 > 0 -> 2 real solutions

Solutions: t1 = -1.1663 s and t2 = 0.35 s

The solution t1 doesn't make sense for this problem, as we can't have a negative value for the time.

So the solution is t2 = 0.35 s

Step-by-step explanation:

To find the time when the ball will reach the height of 2 meters, we just need to use the value of h = 2 in the equation given. So, we have that:

−4.9t^2 − 4t + 4 = 2

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As Delta > 0, we have 2 real solutions

t1 = (-b + sqrt(Delta)) / 2a = (4 + 7.4297) / (-9.8)  = -1.1663 s

t2 = (-b - sqrt(Delta)) / 2a = (4 - 7.4297) / (-9.8)  = 0.35 s

Number of real solutions: 2

Solutions: t1 = -1.1663 s and t2 = 0.35 s

The solution t1 doesn't make sense for this problem, as we can't have a negative value for the time.

So the solution is t2 = 0.35 s

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