A car starts from rest and moves around a circular track of radius 34.0 m. Its speed increases at the constant rate of 0.470 m/s2. (a) What is the magnitude of its net linear acceleration 16.0 s later

The magnitude of net linear acceleration of the car after 16 s later is .

Explanation:

It is given that,

Initial speed of the car, u = 0 (at rest)

Radius of the circular track, r = 34 m

Acceleration of the car,

We need to find the magnitude of its net linear acceleration 16.0 s later. It is equal to the resultant of radial and linear acceleration. The linear speed of the car after 15 seconds. So,

The radial acceleration of the car is given by :

So, net acceleration of the car is given by :

So, the magnitude of net linear acceleration of the car after 16 s later is . Hence, this is the required solution.