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CBSE Class 11-science Answered

the motion by body is described by the equation v=at square find the distance travelled by the body in the first 2second

Asked by pp144509 | 27 Sep, 2021, 10:06: PM
Expert Answer
velocity v = dx/dt  =  a t2
 
dx = a t2 dt
 
By integrating both sides of above expression, we get
 
begin mathsize 14px style integral subscript x subscript o end subscript superscript x d x apostrophe space equals a integral subscript o superscript t t apostrophe space squared d t apostrophe space end style
x = xo + (1/3) a t3
 
distance travelled in first two seconds = (1/3) a (2)3 = (8/3) a

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