I got most of them this weekend. There's just a few I'm not sure about.
1. NASA launches a rocket at seconds. Its height, in meters above sea-level, as a function of time is given by .
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
The rocket splashes down after ______ seconds.
How high above sea-level does the rocket get at its peak?
The rocket peaks at _______ meters above sea-level.
2.Solve the equation by factoring.
I know that one of the solutions is definitly -8. The other one I'm getting 5/4 but it says that's wrong.
3.Complete the equation of the circle centered at (-1,-1) with radius 6.
I'm getting 34=0 for this but I'm not to sure what the equation for a cirlce is.
4.A vendor sells ice cream from a cart on the boardwalk. He offers vanilla, chocolate, strawberry, blueberry, and pistachio ice cream, served on either a waffle, sugar, or plain cone. How many different single-scoop ice-cream cones can you buy from this vendor?
Do I use nPr or nCr for this one? And which number equals n and which one equals r.
5. The angle of elevation to the top of a building is found to be 13 degrees from the ground at a distance of 4500 feet from the base of the building. Find the height of the building.
I got 2 answers for this. 385205.8259 or 1038.90686
Splashdown:
We are looking for a point in time where the rocket is at sea level. So we need:
Using the quadratic formula:
I get that t = -2.95738 s or t = 16.6308 s. We may discard the negative time as unphysical.
Maximum height:
We are looking for a point in time where the vertical speed is zero (momentarily). So we set the first derivative of the height function to zero:
This is WHEN the rocket reaches maximum height, so what is the maximum height?
-Dan