a body travelling in straight line travels 2m in the first 2 seconds and 2.2m in the next four second with constant retardation. What will be its velocity at the end of seventh second from the start
plzzanswer
Let me solve it myself please)
kk
Formula for motion with constant acceleration is in one dimension, which is the case s = s0+v0t+at^2/2 You can definitely find what you need using it
Try to solve it yourself
elaborate
Ask me what you don't understand in how to use it.
i understood nothin
Ok. It's better for you in future to read about kinematics. So what is given is t1 = 2 s, s1 = 2 m t2 = 6 s, s2 = 4.2 m s0 = 0 because we arranged our system of coordinates so that initial position of an object at the origin of it. a - which is acceleration, is constant, so we can use equations of kinematics for motion with constant acceleration. Do you get that?
Is that clear, what I wrote?
Hey man are you here?;)
i got it but i don't know kinematics
Ok, it doesn't matter. Now our equation becomes s = v0t+at^2/2 using values of s1 and t1 you can express v0 in term of a.
yes
You can type in your current data so we can check if it is right.
v0 - ?
1
No) try again
-1
Ok I'll show you the steps
s1 = 2m, t1 =2s 2 = v0 *2 + a 2^2/2 1 = v0 + a v0 = 1 - a
and our equation becomes more "simple" s = (1-a)t + at^2/2
it should be 1-2a i think?
Ok let's try again 2 = v0 *2 + a 2^2/2 2 = v0 *2 + a *4/2 2 = v0 *2 + a *2 1 = v0 + a v0 = 1 - a Do you have any doubts about this now?
no
I am going on: and our equation becomes more "simple" s = (1-a)t + at^2/2
yeah iam gettin it now
Putting in s and t values you can find a. When you will find a, using another equation of kinematics for motion with constant acceleration, you can easily find v for any moment of time v = v0 + at
Notice that you will get negative value for acceleration because its retardation, if it's not negative, be sure you got wrong value.
i know these equation v=u+at s=ut+1/2at^2 v^2-U^2=2as are these equation of kinematics
I'm not sure about the last one because it takes time to derive it, yes these are equations of kinematics for motion with constant acceleration.
Here U is initial velocity!
i know
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