Answer:
Step-by-step explanation:
We are dealing with the "american" measure of feet, so the pull of gravity that we need is -16t^2. The quadratic that models this, in standard form, is
where v0 is the initial vertical velocity (64) and h0 is the initial height (4). Filling that standard position function in with our stuff gives us:
We are asked how long it will take for the object to reach its max height, then of course we are asked what the max height is (of course!). I am going to use calculus here since it's the easiest way to go. The first derivative of the position function is the velocity function.
v(t) = -32t + 64
You should know at this point from either algebra 2 or physics or calculus that an object has no velocity at its max height because it has to stop in the air in order to turn around and head back down. So we will set the velocity function equal to 0 and solve for how long it takes to reach that max height.
0 = -32(t - 2) so
t = 2 seconds, which answers the first question. If it takes 2 seconds to reach its max height, we can sub in 2 for t in the position function to find the object's position at 2 seconds. This will be the max height.
so
s(2) = 68 feet. The max height is 68 feet, which answers the seconds question.
As far as the range goes, the position function is an upside down parabola with a max height of 68. So the range, if I'm understanding what is being asked, is y | y ≤ 68
Answer:
Step-by-step explanation:
True for the last two on the right and false for the first one
Answer:
the answer is a
Step-by-step explanation:
Answer:
2.) $520
3.) less
Step-by-step explanation:
I'm going to assume that the interst is compoudning and is convertable once a year
The compound interest formula for interest compounding only once a year is as follows
plug in the numbers and get
3.) If the interest rate is lower at the credit union he would obvioulsy be paying less (assuming that this interest rate is convertable annually as well)
the answer is 60degree..hope it helps u