A particle moves in a circle of radius 20 cm. Its linear speed is given by v=2t, where t is in second and v in metre/ second. Find the radial and tangential acceleration at t=3s.

Options

A. only`a,b,c` are correct
B. only`a,b,d` are correct
C. only`a,c,d` are correct
D. all`a,b,c,d` are correct

Answer

D

Explanation

`v=2t,a_(c)=v^(2)/r=(2t)^(2)/0.2=20t^(2)=20xx2^(2)=80 m//s^(2)`
`a_(t)=(dv)/(dt)=2 m//s^(2)`
Net acceleration:`a=sqrt(a_(c)^(2)+a_(t)^(2))gt80 m//s^(2)`