Dr. John Paul Stapp was U.S. Air Force officer who studied the effects of extreme deceleration on the human body. On December 10
1 answer:
Answer:
a)
b)
Explanation:
Given:
- speed of rocket initially,
- top speed of rocket after acceleration,
- time taken to get to the top speed,
- final speed of the rocket,
- time taken to get to the final speed after reaching the top speed,
Now the acceleration:
Now as a fraction of gravity:
Now, the deceleration:
Now as a fraction of gravity:
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Answer:
Explanation:
There's an easy way to answer this and then an easier way. I'll do both since I'm not sure what you're doing this for: physics or calculus. Calculus is the easier way, btw.
Going with the physics version first, here's what we know:
a = -9.8 m/s/s
v₀ = 3.75 m/s
t = ??
That's not a whole lot...at least not enough to directly solve the problem. What we have to remember here is that at the max height of a parabolic path, the final velocity is 0. So we can add that to our info:
v = 0 m/s. Use the one-dimensional equation that utilizes all that info and allows us to solve for time:
v = v₀ +at and filling in:
0 = 3.75 + (-9.8)t and
-3.75 = -9.8t so
t = .38 seconds. This is how long it takes to get to its max height. Another thing we need to remember (which is why calculus is so much easier!) is that at the halfway point of a parabolic path (the max height), the object has traveled half the time it takes to make the whole trip. In other words, if .38 is how long it takes to go halfway, then 2(.38) is how long the whole trip takes:
2(.38) = .76 seconds. Now onto the calculus way:
The position function is
The first derivative of this is the velocity function and, knowing that when the velocity is 0, the time is halfway gone, we will find the velocity function and then set it equal to 0 and solve for t:
v(t) = -9.8t + 3.75 and
0 = -9.8t + 3.75 and
-3.75 = -9.8t so
t = ,38 and multiply that by 2 to find the time the whole trip took:
2(.38) = .76 seconds.
Five
The diagram that represents rays from the sun is given below.
The answer from the diagram is parallel lines.
Six
The formula for this is n_i * Sin(i) = n_r * sin(r)
n1 = 1.333 water
n2 = 1.309 ice
i (angle) = 40o
r (angle) = ?
Solution
1.333 * sin(40) = 1.309*sin(r)
1.333 * sin(40)/1.309 = sin(r)
0.6546 = sin(r)
sin-1(0.6546) = 40.88 degrees.
I guess my closest answer would be A. I'm not rounding at all and that's the answer I get.
