a toy rocket is launched from a platform that is 48 feet high. the rockets height above the ground is modeled by h=-16t^2+32t+43.

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To find the height of the rocket above the ground at any given time, you can use the equation h = -16t^2 + 32t + 43.

Here, h represents the height of the rocket above the ground, and t represents the time in seconds.

To find the height at a specific time, substitute the value of t into the equation and solve for h.

For example, let's find the height of the rocket after 3 seconds:

h = -16(3)^2 + 32(3) + 43
= -16(9) + 96 + 43
= -144 + 96 + 43
= -48 + 43
= -5

Therefore, after 3 seconds, the height of the rocket above the ground is -5 feet.

To find the height of the rocket above the ground, you can substitute the given time value (t) into the equation h = -16t^2 + 32t + 43.

However, before that, note that in the equation, h represents the height above the ground, and t represents the time (in seconds) since the rocket was launched.

So, if you would like to find the height of the rocket above the ground at a specific time or time interval, just substitute the value of t into the equation and calculate the corresponding value of h.

For example, let's say you want to find the height of the rocket at t = 2 seconds.

Substituting t = 2 into the equation, we have:

h = -16(2)^2 + 32(2) + 43
h = -16(4) + 64 + 43
h = -64 + 64 + 43
h = 0 + 107
h = 107 feet

Therefore, at t = 2 seconds, the height of the rocket above the ground is 107 feet.