A body of constant mass \( m=1 \mathrm{~kg} \) moves under variable force \( F \) as shown. If a...

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A body of constant mass \( m=1 \mathrm{~kg} \) moves under variable force \( F \) as shown. If at \( t=0, S=0 \) and velocity of the body is \( \sqrt{20} \mathrm{~m} / \mathrm{s} \) and the force is always along direction of velocity, then choose the incorrect options
(a) Velocity of the particle will increase upto \( \mathrm{S}=2 \mathrm{~m} \) and then decrease.
(b) The final velocity at \( S=6 \mathrm{~m} \) is \( 10 \mathrm{~m} / \mathrm{s} \)
(c) The final velocity at \( S=6 \mathrm{~m} \) is \( 4 \sqrt{5} \mathrm{~m} / \mathrm{s} \)
(d) The acceleration is constant up to \( S=2 \mathrm{~m} \) and then it is negative.
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