The work required to accelerate an object on a frictionless surfacefrom a speed

Question

The work required to accelerate an object on a frictionless surfacefrom a speed v to a speed 2v is
1 threetimes the work required to accelerate the object from v =0 to v.
equal tothe work required to accelerate the object from v = 0 tov.
notknown without knowledge of the acceleration.
twicethe work required to accelerate the object from v = 0 tov.
fourtimes the work required to accelerate the object from 2vto 3v.
1 threetimes the work required to accelerate the object from v =0 to v.
equal tothe work required to accelerate the object from v = 0 tov.
notknown without knowledge of the acceleration.
twicethe work required to accelerate the object from v = 0 tov.
fourtimes the work required to accelerate the object from 2vto 3v.
1 threetimes the work required to accelerate the object from v =0 to v.
equal tothe work required to accelerate the object from v = 0 tov.
notknown without knowledge of the acceleration.
twicethe work required to accelerate the object from v = 0 tov.
fourtimes the work required to accelerate the object from 2vto 3v.
1

Explanation / Answer

The work done is change in KE W=1/2*m*(2v)2-1/2*m*v2 W=3(1/2*mv2) So it is 3 times the work required to accelerate the objectfrom v=0 to v. Hence we get by it. W=3(1/2*mv2) So it is 3 times the work required to accelerate the objectfrom v=0 to v. Hence we get by it.

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