A car travels along a circular path such that its speed is increased by a_t=0.5e^t(m/s^2) ,where t is in seconds. The radius of curvature of the path is 30m.
Determine the magnitude of its velocity after the car has traveled s = 18m starting from rest. Neglect the size of the car.
Determine the magnitude of its acceleration after the car has traveled s = 18 starting from rest.