Question

An object of mass m at rest is acted ypon by a force f for time t. The kinetic energy of object aftervtime t is

Answer 1

f = ma
a =f/m
a = dv/dt
dv = adt
By double integrated
V^2 = at^2
Now ke = 1/2mv2=1/2*m *at^2=1/2*f*t2=1/2*f*t^2

Answer 2

We know that...

Kinetic Energy (K.E) = \frac{1}{2} mv^{2}

Final Velocity = Initial Velocity + Acceleration × Time

Force = Mass × Acceleration

Substituting the above 2 equations...

\frac{F^{2}T^{2}}{2m}