Obtain a relation for the distance travelled by an object moving with a unifrom acceleration in the interval between 4th and 5th seconds.
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From second equation of motion Distance travelled in t see `s=ut +1/2at^(2)` Distance travelled in 4 s `s_(4) = u xx 4 + 1/2a(4)^(2) [because put t = 4 s]` `= 4u + 1/2 xx a xx 16 = 4u+8a` (`S_(4)`= distance trvelled in 4th sec) Again, distance travelled in 5 s `s_(5) = ut + 1/2at^(2) [because put t = 5s]` `= uxx5 + 1/2 a (5)^(2) = 5u + (25)/(2) a (S_(5)` = distance travelled in 5th sec) So, distance travelled in the interval between 4th and 5th second. `s = s_(5)-s_(4)=(5u+(25)/(2)a)-(4u+8a)` `= 5u + (25)/(2)a-4u-8a` `= 5u-4u + (25)/(2)a-8a` =u`+(25a-16a)/2=u+9/2a` So, the ralation will be `(u+ 9//2a)`
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