Question

If the displacement x=(1/2)vt, where v is the velocity and t is the time, Then proove that the acceleration is constant

Answer 1

x=(1/2)vt
diff wrt t
dx/dt=(1/2) v (dt/dt)+(1/2) (dv/dt) t
v=(1/2)v+(1/2)at
v=at
diff wrt t
(dv/dt) = (da/dt) t+a (dt/dt)
a = (da/dt) t + a
==>da/dt = 0
==>change in a is zero ==> a is constant

Answer 2

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