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Grade 12Mechanics

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

Pratik Sharma

16 Years agoGrade 12

5 Answers

Badiuddin askIITians.ismu Expert

16 Years ago

Dear Pratik

given

V= |t-2|

dx/dt = |t-2|

dx = |t-2|dt

_o∫^xdx = _o∫⁴|t-2|dt

x = _o∫²(2-t)dt + ₂∫⁴(t-2)dt

=4

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Pratik Sharma

16 Years ago

how the step 5 come ?

Jatin

8 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

8 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-1/2at²we 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

5 Years 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-1/2at²we 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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