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Feliz [49]
2 years ago
6

An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled usin

g h(t) = 144 – 16t2. How many seconds will it take the object to reach the ground? second(s)
Mathematics
2 answers:
kkurt [141]2 years ago
4 0

Answer:

<em>t = 3 seconds</em>

Step-by-step explanation:

We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.

The equation is:

h (t) = 144 - 16t ^ 2

Where t is the time in seconds and h is the height in feet.

To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.

So:

0 = 144 - 16t ^ 2\\\\16t ^ 2 = 144\\\\t ^ 2 = \frac{144}{16}\\\\t ^ 2 = 9\\\\t_1 = 3\\t_2 = -3

We take the positive solution.

Therefore the object takes 3 seconds to reach the ground

BaLLatris [955]2 years ago
3 0

Answer:

t=3 seconds

Step-by-step explanation:

We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.

The equation is:

Where t is the time in seconds and h is the height in feet.

To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.

So:

We take the positive solution.

Therefore the object takes 3 seconds to reach the ground

Read more on Brainly.com - brainly.com/question/12606814#readmore

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