The velocity of a particle is zero at t = 0.
a) The acceleration at t = 0 must be zero.

b) The acceleration at t = 0 may be zero.

c) If the acceleration is zero from t = 0 to t = 10 s, the speed is also zero in this interval.

d) If the speed is zero from t = 0 to t = 10 s the acceleration is also zero in this interval.

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a, b & c are correct

a,b & d are correct

a, c & d are correct

b,c & d are correct

answer is B.

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Detailed Solution

velocity (\vec{v}) = 0 at t = 0

$\to \vec{a}$ may be zero increase of free fally body

Speed is zero in this time $\vec{a} = 0$ $\vec{v} - \vec{u} = 0$ (in straight line)

$\to \vec{a} = \frac{Δ v}{t}$

$Δ v = \vec{a} t = (0) t = 0$

$\vec{a} = 0 \Rightarrow v = 0$

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