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Questions  

A dynamic blast blows a heavy rock straight up with a launch velocity of 160 m/sec.  It reaches a height of  after t sec.  The velocity 
 of the rock when it is 256 m above the ground on the way up is

a
98 m/s
b
96 m/s
c
104 m/s
d
48 m/s

detailed solution

Correct option is B

v=dsdt=160−32t.  We now find values of t for which s(t)=256. So  160t−16t2=256⇒16t2−10t+16=0⇒(t−2)(t−8)=0)⇒ t=2,t=8 So v(2)=160−32.2=96 v(8)=160−256=−96 So __ the velocity on the way up in 96m/s.

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