A particle moves in circle of radius 1.0 cm at a speed given by v=2.0 t where v is in cm/s and t in seconeds. A. find the radia accelerationof the particle at t=1 s. b. Findthe tangential acceleration at t=1s. c.Find the magnitude of the aceleration at t=1s.

Answer

A, B, C, D

Explanation

`V=2,r=1cm`
a. Radial acceleration at t=1 sec
`a=(v^2/r)=((2)^2)/1=4cm/sec^2`
b. Tangential acceleration at t=1 sec`
a=(dv)/(dt)`
`=d/(dt) (2t) =2cm/sec^2`
c. Magnitude of acceleration at t=1sec
`a=sqrt(4^2+2^2)`
`=sqrt(20) cm/sec^2`