CBSE Class 11-science Answered
A body starts from rest and moves with constant acceleration for t seconds.It travels a distance X1 in first half of time and X2 in second half of time.Then which one is correct?
1) X2=X1
2)X2=2X1
3)X2=3X1
4)X2=4X1
Asked by tps.mjmdr | 01 Jul, 2018, 11:06: PM
Expert Answer
The distance travelled with constant acceleration in a given time t is, " S = u×t + (1/2)×a×t2 " ,
For first half time, initial speed u=0, hence distance X1 = (1/2)×a×(t/2)2 = (1/8)×a×t2 .................(1)
for second half time, initial speed = a×(t/2), hence distance X2 = a×(t/2)×(t/2) + (1/2)×a×(t/2)2 = (3/8)×a×t2 .............(2)
from (1) and (2), we can write X2 = 3 × X1
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