Physics : Motion in a straight line problem!
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Physics : Motion in a straight line problem!

[From: ] [author: ] [Date: 13-05-04] [Hit: ]
When you find t in terms of L (using the quadratic formula) then replace L with the first eq. to get t in terms of T.......
Q. A particle starts with initial speed u and retardation a to come to rest in time T. The time taken to cover first half of the total path travelled is? (the answer is in terms of T)

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Your kinematics eq is, for distance traveled "L" in time "T" is;
L = uT - (1/2)aT^2

Then for distance "L/2" in time "t";
L/2 = ut - (1/2)at^2

Since "L" is found from the first eq ,just solve the quadratic eq for "t";
(a/2)t^2 - ut + (L/2) = 0

When you find "t" in terms of "L" (using the quadratic formula) then replace "L" with the first eq. to get "t" in terms of "T".
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