EK 1001 physics #335 is this a mistake?

[2010premed]

Assume the force F acts for a time t. Assume the block has an initial velocity v. Initial velocity in which direction would reslt in the greatest amount of work done on the block?
A. inital velocity to the right
V. Iinitial velocity to the left
C. Initial velocity in either direction would result in the same amount of work done b/c the time t is constant
D. Initial v in either direction would result in the same amount of work done b/c the distance traveled would be the same
Answer: A??

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[lorenzomicron]

what does the picture look like?

 

[Phantastic]

Looks like they are referencing the Work-Energy theorem: Work = change in Kinetic energy. Just use KE(final) - KE(initial) and that should tell you which direction leads to the most work done?

 

[2010premed]

I totally forgot about the picture... NOW it makes sense. thanks guys