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A particle starts moving with acceleration 2m/s2. Distance travelled by it in 5th half second is ?

Manali Sharma , 8 Years ago

Grade 12th pass

10 Answers

URVASHI

We are given acceleation and time and it says particle starts moving implies it starts from rest. So initial velocity is zero. And here we use this standard formula: s=ut+(1/2)a(t^2)

Using this formula we get our answer: 30.25m

Thanks

Last Activity: 8 Years ago

Manali Sharma

I tried solving by the same method. But the answer given is 2.25 Do they mean 5.5 secs by 5th half second?

Last Activity: 8 Years ago

URVASHI

Yes I thought in this way. But we can see this in this way also: we have to find distance in 5^th half second.

Formula: s=ut+(1/2)a(t^2)

t^2 = (5/2)^2 – (2)^2 = 2.25 and using this in our formula distance travelled is: 2.25m

Approved

Last Activity: 8 Years ago

Santosh Datla

Dear Student,

Thanks for posting your doubt. I have attached the complete solution.

Regards,
Santosh Datla
Physics Expert, askIITians.com

Last Activity: 8 Years ago

Santosh Datla

Dear Student, Thanks for posting your doubt. I have attached the complete solution. Hope that this answers your query.

Regards,
Santosh Datla
Physics Expert,
askIITians.com

Last Activity: 8 Years ago

Kusumanchi Vinay

5^th half second means 2.5 seconds and if we use the formula S=ut+1/2at^2 because u=0 S=1/2at^2 and if we substitute the values in that eqation then S=1/2*2*[2.5]^2=6.25 and because they asked the distance travelled in fifth half second so 6.25-4=2.25m

Last Activity: 8 Years ago

Tulsi

If 5th half second is 2.5sec then why are we subtracting 4m from 6.25m in final answer. I am still 10th std so I don't know about 5th half second and I used S=u+a/2(2n-1) where n is time and I got answer as 4m. Confused

Last Activity: 8 Years ago

Shantanu P

By this the actually mean when the particle is moving the distance traveled in 5th half second i.e only distance travelled in the half of the 5th second

For this the formula is S(nth)=u+a/2 (2n-1) here n is 5 seconds

Therefore the answer we get is 2.25 by substituting values in it respectively

Last Activity: 7 Years ago

Ram

This is not right question actually. So you people are confused.

There is need to correct the question first.

Last Activity: 7 Years ago

Yash Chourasiya

Dear Student

Here acc. is 2m/s²& 5thhalf means 2.5 so
S = S_2.5 – S₂
S = 1/2a(2.5)²- 1/2a(2)²

S = 1/2 *2(6.25 – 4)

S = 2.25 m

I hope this answer will help you.
Thanks & Regards
Yash Chourasiya

Last Activity: 5 Years ago