A particle of mass m starts from rest and moves with constant acceleration 'a'. After travelling a distance 's', what is its kinetic energy?
$mas$
To find the kinetic energy of a particle of mass \( m \) that starts from rest and moves with constant acceleration \( a \) after traveling a distance \( s \), let's go through the steps:
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Start with the kinematic equation that relates initial velocity, acceleration, and distance:
v^2 = u^2 + 2as
Since the particle starts from rest, its initial velocity \( u = 0 \). Hence, the equation simplifies to:
v^2 = 2as
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The kinetic energy \( KE \) of an object is given by the formula:
KE = \frac{1}{2}mv^2
Substitute the expression for \( v^2 \) from the kinematic equation into the kinetic energy formula:
KE = \frac{1}{2}m(2as) = mas
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Therefore, the kinetic energy of the particle is mas, which corresponds to the correct answer.
Thus, the correct option is mas.
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