Uniform acceleration problem I can’t solve.

Andwill117

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Question 50 in the attatched image has been doing my head in. Can I get help please? Thank you
 

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Question 50 in the attatched image has been doing my head in. Can I get help please? Thank you
Please post your attachment in "correct" orientation, so that we can read it without spraining our neck.

Hint:

If I were to do this problem, I would solve it using v-t curves. The difference in travel-distances is the distance between the starting points.​

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this assignment.
 
Are you asking us to solve your problem for you? This is a math help forum. Do you equate help with doing your work for you. I don't. If you want help then that would be great. Simply read our guidelines, follow them and then post back.
 
Question 50 in the attached image has been doing my head in. Can I get help please? Thank you
Define a few variables - say, for the initial speed, the initial distance, and the deceleration. Write a few equations and show them to us.

The more work you show, the quicker we can identify your problem and suggest next steps. If we can't see where you need help, we can't offer the appropriate help.
 
Are you asking us to solve your problem for you? This is a math help forum. Do you equate help with doing your work for you. I don't. If you want help then that would be great. Simply read our guidelines, follow them and then post back.

Helping to understand the answer. Thank you
 
Please post your attachment in "correct" orientation, so that we can read it without spraining our neck.

Hint:

If I were to do this problem, I would solve it using v-t curves. The difference in travel-distances is the distance between the starting points.​

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this assignment.

see diagrams drawn. At orange point c the
Please post your attachment in "correct" orientation, so that we can read it without spraining our neck.

Hint:

If I were to do this problem, I would solve it using v-t curves. The difference in travel-distances is the distance between the starting points.​

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this assignment.

Thank you still looking into it the attachment is what I’ve drawn for that.
 

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see diagrams drawn. At orange point c the
Thank you still looking into it the attachment is what I’ve drawn for that.
You assumed the cars to be "particles" and drew the v-t, a-t & s-t diagram - good work.

You should know that:

the area under the v-t curve indicate the distance traveled by a particle.​

The first car was travelling with speed v and decelerated to zero (0) in 't' seconds while travelling 10 m.

So:

10 = 1/2 * v * t and​

Now consider - how far did the second car travel in this time 't' (before applying break)? - this is the distance of separation (why?)
 
Hi, the area under the VT curve is telling me that the seperation of car 1 and 2 is twice the distance as 10m. What I can’t get my head around is how could ever the distance traveled at constant speed be equal to distance travelled at same speed being decelerated.
 

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Here are my past attempts at solving this problem. I didn’t post them before because I didn’t know how to present them in a clear way. But I’ve always ended up with more variables than equations.
Could someone help me understand what’s going on conceptually?
 

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More past attempts.
 

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