A motor car is travelling at 30 m/s on a circular road of radius 500 m. It is increasing its speed at the rate of 2.0 m/s2. Then the acceleration of the car is:

Radial acceleration ar = v2r = (30)2500 = 1.8 m/s-2Tangential acceleration at = 2 m/sec2Resultant accelerationa2 = ar2+at2+2aratcosθHere θ = 900a2 = (1.8)2+(2)2+ 0 = 3.24 +4 = 7.24a = 7.24 = 2.7 ms-2