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I'm doing calc1 by myself right now and not sure where to start with this problem: Here are the questions: An object attached to a spring swings vertically around its equilibrium position. The height of the object relative to its position of equilibrium is given by the following function: h(t)=(e^-(x/10)*100sin(x)-10cos(x))/101 *(See photo i have provided)* a) Give the object movement for the first 10 seconds. I know i can find the speed of an object if i have it's acceleration. But how do i find it's movement fom it's height? I have done the integral of the height's equation and it's -(100e^-(x/10)(20sin(x)+99cos(x))/10201+Constant b) Give the total distance traveled by the object during the first 10 seconds I would assume this is something along the lines of finding the final positition of the object and the initial position and substracting them? c) Give the total distance that will be traveled by the object from time t = 0. at this point i am clueless to what i should find   I think i'm getting things mixed up and would apreciate help. Thanks.

I'm doing calc1 by myself right now and not sure where to start with this problem: Here are the questions: An object attached to a spring swings vertically around its equilibrium position. The height of the object relative to its position of equilibrium is given by the following function: h(t)=(e^-(x/10)*100sin(x)-10cos(x))/101 *(See photo i have provided)* a) Give the object movement for the first 10 seconds. I know i can find the speed of an object if i have it's acceleration. But how do i find it's movement fom it's height? I have done the integral of the height's equation and it's -(100e^-(x/10)(20sin(x)+99cos(x))/10201+Constant b) Give the total distance traveled by the object during the first 10 seconds I would assume this is something along the lines of finding the final positition of the object and the initial position and substracting them? c) Give the total distance that will be traveled by the object from time t = 0. at this point i am clueless to what i should find   I think i'm getting things mixed up and would apreciate help. Thanks.

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I'm doing calc1 by myself right now and not sure where to start with this problem:

Here are the questions:

An object attached to a spring swings vertically around its equilibrium position. The height of the object relative to its position of equilibrium is given by the following function: h(t)=(e^-(x/10)*100sin(x)-10cos(x))/101 *(See photo i have provided)*

a) Give the object movement for the first 10 seconds.

I know i can find the speed of an object if i have it's acceleration. But how do i find it's movement fom it's height? I have done the integral of the height's equation and it's -(100e^-(x/10)(20sin(x)+99cos(x))/10201+Constant

b) Give the total distance traveled by the object during the first 10 seconds

I would assume this is something along the lines of finding the final positition of the object and the initial position and substracting them?

c) Give the total distance that will be traveled by the object from time t = 0.

at this point i am clueless to what i should find

 

I think i'm getting things mixed up and would apreciate help. Thanks.

e/10(100 sin(t) – 10 cos(t)) h(t) 101
Transcribed Image Text:e/10(100 sin(t) – 10 cos(t)) h(t) 101
1 (3.241, 0.7124) 10 · 100 sin (x) – 10 cos (x) -100e '(20 sin (x) + 99 cos (x))/(10201) -0.5 (9.524, 0.3801) 3 4 3 4 6. 9 10 11 --0.5 (6.383, –0.5204) powered by desmos (0.1, –0.9754) + 國
Transcribed Image Text:1 (3.241, 0.7124) 10 · 100 sin (x) – 10 cos (x) -100e '(20 sin (x) + 99 cos (x))/(10201) -0.5 (9.524, 0.3801) 3 4 3 4 6. 9 10 11 --0.5 (6.383, –0.5204) powered by desmos (0.1, –0.9754) + 國
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