1.

theta=theta_0+omega_0t+1/2propt^2 from the first principles of differentiation.

Answer»

Solution :CONSIDER the DEFINITION for angular speed,
i.e `omega=(dtheta)/(DT)`
i.e `dtheta=omegadt`
i.e `dtheta=(omega_0+propt)dt`
i.e `intdtheta=intomegadt+inttdt`
i.e `theta=omega_0t+prop.(t^2)/(2)+C`
Where 'C' is a constant. When `t=0,theta=theta_0,C=theta_0`
HENCE `theta=theta_0+omega_0+1/2propt^2`


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