2m/s squared.. so it is increasing at 4 mps?
So the first second, he went 2 meters. Next second he travelled another 4, and the next another 6. I know there's a formula for this so you don't have to sit and add the numbers - but being the math-idiot that I am, I don't know the formula. I just know it' exists :wink:
Oh no, wait, I forgot the squared =S
So then it's
Second 1: 2^2
2: 4^2
3: 8^2
Or am I totally off?
So speed+4 then square it?
well for the 15 seconds thing it goes 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30
if you add the end numbers together it equals 32,and that goes until 16
the next set in also equals 32 and thats the extent of me figuring out this lc...
This is a very easy problem once we get the formula
Remember you increase 2^2. Or do you do (speed+2)^2?
I got 690
1st column, number of seconds.
2nd column, amount of thrust
Keep adding 2 for the first 15 seconds
After 15 seconds, amount of thrust is constant.
1 2
2 4
3 6
4 8
5 10
6 12
7 14
8 16
9 18
10 20
11 22
12 24
13 26
14 28
15 30
16 30
17 30
18 30
19 30
20 30
21 30
22 30
23 30
24 30
25 30
26 30
27 30
28 30
29 30
30 30
Now add everything in the 2nd column together.
I didn't take into consideration the seconds squared, that might screw me up.
It might end up being
1 2^2 = 4
2 4^2 = 16
3 6^2 = 36
4 8 ^2 = 64....
etc... will finish is a second.
In that case the number is going to be hugeish.
I don't think you can just add 2,4,6,8 ect. when it's squared. You have to square 2, and then square that number and add it to the first number, then square that number and add it to the sum ect.
Or am I wrong?
1st second:
Initial v=0 m/s
Accel=2 m/s*s
Dist=1 m
Final v=2 m/s
2nd second:
Initial v=2 m/s
Accel=4m/s*s
Dist=4 m
Final v=6 m/s
3rd second:
Initial v=6 m/s
Accel=6 m/s*s
Dist=9 m
Final v=12 m/s*s
etc through 15th second:
Final Velocity after 15th second=240 m/s
SO: If you add up 1, 4, 9, 16, 25, 36 ... 225 you get 1240 m travelled in the first 15 seconds
THEN: multiply 240 m/s by 45 seconds for another 10800 m
ADD: and you get 12040 m travelled in the minute
I cannot guarantee that any of that is correct, but it's the best I could do
speed time and distance!!
mandibell wrote:I got 690
1st column, number of seconds.
2nd column, amount of thrust
Keep adding 2 for the first 15 seconds
After 15 seconds, amount of thrust is constant.
1 2
2 4
3 6
4 8
5 10
6 12
7 14
8 16
9 18
10 20
11 22
12 24
13 26
14 28
15 30
16 30
17 30
18 30
19 30
20 30
21 30
22 30
23 30
24 30
25 30
26 30
27 30
28 30
29 30
30 30
Now add everything in the 2nd column together.
I didn't take into consideration the seconds squared, that might screw me up.
It might end up being
1 2^2 = 4
2 4^2 = 16
3 6^2 = 36
4 8 ^2 = 64....
etc... will finish is a second.
In that case the number is going to be hugeish.
At that point, the ship remained at constant acceleration for another 30 seconds
,so it goes up to 45 seconds of constant acceleration so the speed keeps going up
ro67 wrote:1st second:
Initial v=0 m/s
Accel=2 m/s*s
Dist=1 m
Final v=2 m/s
2nd second:
Initial v=2 m/s
Accel=4m/s*s
Dist=4 m
Final v=6 m/s
3rd second:
Initial v=6 m/s
Accel=6 m/s*s
Dist=9 m
Final v=12 m/s*s
etc through 15th second:
Final Velocity after 15th second=240 m/s
SO: If you add up 1, 4, 9, 16, 25, 36 ... 225 you get 1240 m travelled in the first 15 seconds
THEN: multiply 240 m/s by 45 seconds for another 10800 m
ADD: and you get 12040 m travelled in the minute
I cannot guarantee that any of that is correct, but it's the best I could do
To me it looks like it could be right, or at least close to the right way of doing it. But again, I'm not good at math, so CANNOT tak my word for it =)
can someone put the equation for this problem in dumb people terms?
im totally ignorant when it comes to math =/
repeat
they do NOT stop accelerating at 15 seconds
When Gorix escaped from Dr. Sloth's ship, his ship started at rest. Gorix immediately set his thrusters to full power, and his ship's acceleration increased by 2 m/s2 every second for 15 seconds. At that point, the ship remained at constant acceleration for another 30 seconds, after which the thrusters powered off, effectively setting his acceleration to zero.
It says that he gained speed for fifteen seconds, remained at that speed for 30 seconds, which is 45 seconds, and then he went back down to zero for the next 15 seconds of a minute.
Or am I just being even more confusing? Maybe I'm delving too deep o-o
Oh wait, but they want to know how far he got anyways. So what it means, really, is that even though it stopped moving at 45 seconds, how far did it go in that time.
Majikle wrote:When Gorix escaped from Dr. Sloth's ship, his ship started at rest. Gorix immediately set his thrusters to full power, and his ship's acceleration increased by 2 m/s2 every second for 15 seconds. At that point, the ship remained at constant acceleration for another 30 seconds, after which the thrusters powered off, effectively setting his acceleration to zero.
It says that he gained speed for fifteen seconds, remained at that speed for 30 seconds, which is 45 seconds, and then he went back down to zero for the next 15 seconds of a minute.
Or am I just being even more confusing? Maybe I'm delving too deep o-o
no it says it keeps getting faster at the same rate for 30 seconds and then stopped going faster for 15 seconds but they are still moving
Majikle wrote:When Gorix escaped from Dr. Sloth's ship, his ship started at rest. Gorix immediately set his thrusters to full power, and his ship's acceleration increased by 2 m/s2 every second for 15 seconds. At that point, the ship remained at constant acceleration for another 30 seconds, after which the thrusters powered off, effectively setting his acceleration to zero.
It says that he gained speed for fifteen seconds, remained at that speed for 30 seconds, which is 45 seconds, and then he went back down to zero for the next 15 seconds of a minute.
Or am I just being even more confusing? Maybe I'm delving too deep o-o
Well, you got something right - but I donø't think the vessel STOPPED after the 15+30 seconds of acceleration.
After the first 15 seconds, acceleration increases.
For the next 30 seconds, the acceleration is at a constant.
For the last 15 seconds, the ship is still moving at top speed but is NOT INCREASING it's speed anymore.
So the vessel still moves at x m/second, just as it was for the 30 seconds of constant acceleration.
