PLEASE HELP ME! I NEED ANSWERS NOW! NO FILES!
A group of students makes a toy rocket for a physics class. The function h(t) = -16t2 + 96t + 1 models the flight of a toy rocket, where h(t) is the height of the toy rocket in feet after t seconds.
Part A: What is the maximum height of the toy rocket?

Part B: After how many seconds will the toy rocket reach its maximum height?

Part C: The students make some modifications to the toy rocket and it is launched a second time in hopes of making the rocket fly higher. This time the rocket's flight is given by the equation: h(t) = -16t2 + 80t + 3. Did the rocket fly higher the first or second time? Explain how you know this.

Here is what I answered with, I'm not 100% sure it is correct.

Part A:

The maximum height of the toy rocket would be 145.

Part B:

After 3 seconds the toy will reach its maximum height.

Part C:

The toy rocket flew higher the first time, the maximum height of the rocket the 1st time 145, the second time however the maximum height was only 103.

I hope this helps <3<3

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.