Determine the distance at time t.?


A 400 Kg. mine car is hoisted up an incline of 28.07 degrees using a cable and motor M. For a short time, the force in the cable is F=(3200t^2) N, where t is in seconds. If the car has an initial velocity V0=2m/s at s=0 and t=0, determine the distance it moves up the plane when t=2 seconds.

There are 2 forces acting on a car along the incline: F upward and component of gravity mgsin(28.07) downward. Total force is F - mgsin(28.07) and according to second law acceleration is a = (F - mgsin(28.07))/m = F/m - gsin(28.07) = 3200/m*t^2 - gsin(28.07)
To find velocity at time t we have to find integral of a:
v = 3200/(3m)*t^3 - gsin(28.07)*t + v0
To find displacement we have to find integral of v:
d = 3200/(12m)*t^4 - gsin(28.07)/2*t^2 + v0*t

What is the term when nothing seems to work and/or one problem leads to yet another?


I’m trying to determine the word (frustration, stress, irritability) that describes the situation when you can’t get things done because of a chain of broken or overly-complicated circumstances. And when you annotate the reasons for not being able to move forward it sounds like you are complaining but the fact is that nothing is working.

For exmple, if I wanted to change the tire on my car, but I can’t find my tire jack, or if I find my tire jack, but part of it has been borrowed by my neighbor, who is on vacation and the person who is house sitting doesn’t speak English. Or I finally do get the car jack but it is broken. Or I manage to fix the broken car jack and get the Car Hoisted but now find out that the spare tire is flat too. Is there a general term that one could use to describe these types of annoyances?

is it Murphy’s Law? I’m not entirely sure

Is it possible to lift the rear of a boat up with an engine hoist?


I just had it yanked off of the trailer for a re fit and the fabricator said i could use the loops by the stern drive to lift it no problem

You can lift small boats, up to say a 19 footer. but you must use caution. Don’t lift by cleats, a sling under the boat with a spreader bar over the top, is best. Make sure the hoist in well under the back and of at least 1000 lbs cap. also don’t work around the boat until it’s blocked up and the hoist is lowered to let the weight rest on the blocks. If your trying to remove the boat from a trailer, you need to use a different method. Use your best judgment. If your uncomfortable with what you have, don’t attempt. Good Luck!

Can you analize my dream please?

It was about my friend/crush and I. It started out with him sitting in the back seat of his car. I walked up to the car and hoisted my backpack in an attempt to get it over him to the next seat. (He and I sit in his car during break at school. I never have my backpack with me, so maybe it being in my dream is significant. Also, I don’t think we were at school. It looked more like a garage. Well, there were walls anyway.) He smiled and pretended to be scared and then helped me with it. I’m not sure how we got there, but we were suddenly holding hands. Then he pulled me into his lap and put his arm around me and said, "Hi sweety." He was still holding my hand. Now, this is where it gets interesting. The dream kind of stops, but keeps going. Everything goes black, but not like the lights went out, more like an I-can’t-see sort of thing. In the dark, he kisses me. The only sense I was aware of was the feeling in my lips.
It’s interesting because I’ve never been kissed before, so how would I know what it feels like? It was so real, if words could describe it, I would type them. When the blackness went away, I was standing outside the car again, and he patted the space next to him and I sat back in his lap. That’s all I remember. Also, I think I half realized it was a dream, but I forgot a moment later.
Oh, and the whole thing about sitting in his lap wasn’t slutty or anything like that, it was romantic and cuddly.

Backpack
To see or carry a backpack in your dream, represents the decisions and responsibilities that are weighing your down.

Car
To see a parked car in your dream, suggests that you need to turn your efforts and energies elsewhere. A parked car may symbolize your need to stop and enjoy life.

Crush
To see your crush in your dream, represents your current infatuation with him or her.

Holding Hands
To dream that you are holding hands with someone, represents your connection with that person. Your dream may also reflect anxieties about losing touch with him/her or that you are drifting apart.

Kissing
To dream of a kiss, denotes love, affection, tranquility, harmony, and contentment