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kumpel [21]
3 years ago
7

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?
Mathematics
1 answer:
quester [9]3 years ago
3 0

Answer: <u><em>*For 2 being an exponent*</em></u>: 3 seconds

<em><u>*For 2 being multiplied to t* </u></em>: 4.5 seconds

Step-by-step explanation:

<u><em>*For 2 being an exponent*</em></u>

It says we want to know the time it will take to reach the ground. This means that the height will be 0 at this time.

So we can set h(t) = 0 and solve for t.

0 = 144 - 16t^2

Subtract 144: -144 = -16t^2

Divide -16: 9 = t^2

Now square root: 3 = t

So it will take 3 seconds to reach the ground.

<em><u /></em>

<em><u>*For 2 being multiplied to t*</u></em>

It says we want to know the time it will take to reach the ground. This means that the height will be 0 at this time.

So we can set h(t) = 0 and solve for t.

0 = 144 - 16t2

We can simplify by multiplying the -16 and 2: 0 = 144 - 32t

Subtract 144: -144 = -32t\\

Divide by -32: 4.5 = t

So it will take 4.5 seconds to reach the ground.

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