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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

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

Grade:12

5 Answers

Badiuddin askIITians.ismu Expert
148 Points
11 years ago

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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Pratik Sharma
18 Points
11 years ago

how the step 5 come ?

Jatin
26 Points
4 years ago
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
Mohit poonia
15 Points
4 years ago
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.
 
 
ankit singh
askIITians Faculty 614 Points
one year ago
 
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

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