An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t) = 144 – 16t2. How many seconds will it take the object to reach the ground?

*For 2 being an exponent*: 3 seconds

*For 2 being multiplied to t* : 4.5 seconds

Step-by-step explanation:

*For 2 being an exponent*

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.

Subtract 144:

Divide -16:

Now square root:

So it will take 3 seconds to reach the ground.

*For 2 being multiplied to t*

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.

We can simplify by multiplying the -16 and 2:

Subtract 144:

Divide by -32: 4.5 = t

So it will take 4.5 seconds to reach the ground.