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

Question

2 years ago

6

g h(t) = 144 – 16t2. How many seconds will it take the object to reach the ground? second(s)

2 answers:

kkurt [141] · Answer 1 · 2022-07-30T19:56:43+03:00

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] · Answer 2 · 2022-07-30T21:01:21+03:00