InterviewSolution
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InterviewSolution
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What is the speed of the body moving with uniform acceleration at the midpoint of two points on a straight line, where the speeds are u and v respectively? |
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Answer» Solution :LET .a. be the CONSTANT acceleration and s be the distance between the two points, From equation of motion `V^(2) - u^(2) = `2as ............ (1) Let `v_(0)` be the speed of the body at midpoint ‘M’ of the given points. Applying the same equation used above, we get `v_(0)^(2) - u^(20 = 2a (s)/(2)` From (1) , we get `v_(0)^(2) - u^(2) = (v^(2) - u^(2))/(2)` `v_(0)^(2) = (v^(2) - u^(2))/(2) + u^(2)` `v_(0)^(2) = (v^(2) - u^(2) + 2u^(2))/(2)` ` v_(0) = sqrt((v^(2) + u^(2))/(2))` 
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