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Pratik Sharma Grade: 12
        

A bird flies for 4 sec with a velocity of |t-2| m/s in a straight line where
t=time in seconds .It covers a distance of

7 years ago

Answers : (4)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Pratik


given


V= |t-2| 


dx/dt = |t-2|


dx = |t-2|dt


oxdx  = o4|t-2|dt


 x  = o2(2-t)dt  + 24(t-2)dt


      =4


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Badiuddin

7 years ago
Pratik Sharma
18 Points
										

how the step 5 come ?

7 years ago
Jatin
26 Points
										givenV= |t-2| dx/dt = |t-2|dx = |t-2|dto∫xdx  = o∫4|t-2|dt x  = o∫2(2-t)dt  + 2∫4(t-2)dt      =4givenV= |t-2| dx/dt = |t-2|dx = |t-2|dto∫xdx  = o∫4|t-2|dt x  = o∫2(2-t)dt  + 2∫4(t-2)dt      =4givenV= |t-2| dx/dt = |t-2|dx = |t-2|dto∫xdx  = o∫4|t-2|dt x  = o∫2(2-t)dt  + 2∫4(t-2)dt      =4
										
2 months ago
Mohit poonia
15 Points
										
As we know that 
At t=0  u=2 m/s     and at t=2  v=0 m/s
Therefore by v=u+at   we get,
0=2+a2   =)     a=-1m/s2
And by s=vt-1/2at2  we get 
S= 0×2-1/2×-1×2×2     =)     s=2m ---------------1
So the first part is complete and now the second part starts
We know that at  t=2seconds   u=0m/s     and at     t=4sec   v=2m/s so total time =2sec
So by v=u+at
2=0+a×2       =)         a=1m/s2  
Now by  s=ut+1/2at2      
s= 0×2+1/2×1×2×2      =)         s=2m      -------------2
So by adding 1 and 2
We get distance travelled by bird =2+2=4 meters
And thats the answer for those who find the calculus in this question difficult.  And also feel free to ask any doubts involved in this solution.
 
 
2 months ago
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