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A Bird Flies for 4secs with a Velocity of (t-2)m/s in a Straight line, where t = time in secs. It Covers a Distance of ? (a)2m (b)4m (c)6m (d)8m Want Answer with Detailed Explaination if Possible. Thanks :)

A Bird Flies for 4secs with a Velocity of (t-2)m/s in a Straight line, where t = time in secs. It Covers a Distance of ?
(a)2m 
(b)4m
(c)6m
(d)8m
Want Answer with Detailed Explaination if Possible. Thanks :)

Grade:11

2 Answers

vikash J
15 Points
6 years ago
See this question involves use of calculus.
v=t-2
so,integrating both sides,s=t^2/2-2t
Another thing to be noted is at t=0.v=-2 and at t=4,v=2(opposite direction)
at t=2,v=0.So calculate displacement from t=0 to 2 seconds and double it(2 to 4)Thus answer is 4m.(b)
NOTE:Here calculus is required bcoz velocity is a function of time.
Yash Puthran
24 Points
6 years ago
Vikas J – Thanks for Your Answer. The Integration Part is a Bit Unclear to me as I have Missed my Classes for that Particular Par but Nice Explaination. Thanks

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