No hovercraft question marathon yet? I think I'll start one.
A train has an initial velocity of 4 m/s. It speeds up with constant acceleration to 8 m/s over a period of 2 seconds. What is its displacement? What equation did you use?
Hovercraft B/C
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Zioly
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Re: Hovercraft B/C
I used delta(x)=v(initial)t+1/2at^2, one of the kinematic equations.
I also got 24 meters.
I also got 24 meters.
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Froggie
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Re: Hovercraft B/C
Make sure to use the “HIDE” thing next time. 
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Birdmusic
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Re: Hovercraft B/C
Correct! Since you answered first, you get to post the next question!heyimben wrote:24m? I literally just found a basic formula for displacement...
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Re: Hovercraft B/C
If a person were walking at the average speed of 2.5 mph from District 12 to District 13 and it takes a week to get there, how fast is the hovercraft traveling from District 12 to District 13, which makes it there in 45 min?Birdmusic wrote:Correct! Since you answered first, you get to post the next question!heyimben wrote:24m? I literally just found a basic formula for displacement...
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WhatScience?
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Re: Hovercraft B/C
heyimben....how much of that time is gone to sleep?heyimben wrote:If a person were walking at the average speed of 2.5 mph from District 12 to District 13 and it takes a week to get there, how fast is the hovercraft traveling from District 12 to District 13, which makes it there in 45 min?Birdmusic wrote:Correct! Since you answered first, you get to post the next question!heyimben wrote:24m? I literally just found a basic formula for displacement...
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Justin72835
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Re: Hovercraft B/C
You can assume that the person is walking nonstop (without taking rest) because he uses the term "average speed".heyimben wrote:If a person were walking at the average speed of 2.5 mph from District 12 to District 13 and it takes a week to get there, how fast is the hovercraft traveling from District 12 to District 13, which makes it there in 45 min?Birdmusic wrote:Correct! Since you answered first, you get to post the next question!heyimben wrote:24m? I literally just found a basic formula for displacement...
One week is equivalent to 168 hours. If the person walks at a speed of 2.5 mph for 168 hours, then the distance between the two points is 420 miles. To find the average speed of the hovercraft, use the formula distance/time, or in this case 420 miles/0.75 hours = 560 mph.
Next question: You have a solid cube of mass 'm' which is attached to a nearby wall using a massless, ideal spring of constant 'k'. If you launch an arrow of velocity 'v' and mass 'M' directly at the solid cube, what is the maximum compression of the spring if:
1) the arrow sticks into the solid after hitting it?
2) the arrow bounces off of the cube perfectly elastically?
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SciolyMaster
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Re: Hovercraft B/C
That is incorrect. 8 m/s^2 is what the train accelerates TO from the initial velocity of 4 m/s^2, not the acceleration itself, which would be (8-4)/2 = 2. Therefore, d = vi*t + 0.5*a*t^2 = 4*2 + 0.5*2*2^2 = 12, so the correct answer is 12 meters.heyimben wrote:24m? I literally just found a basic formula for displacement...
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2021 Events: Sounds, GeoMapping, DyPlan, Astro
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Re: Hovercraft B/C
Justin72835 wrote:Next question: You have a solid cube of mass 'm' which is attached to a nearby wall using a massless, ideal spring of constant 'k'. If you launch an arrow of velocity 'v' and mass 'M' directly at the solid cube, what is the maximum compression of the spring if:
1) the arrow sticks into the solid after hitting it?
2) the arrow bounces off of the cube perfectly elastically?
1) kMv/(M+m) 2) 2kMv/(M+m)
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