The race car moves along a 100m radius curve with a centripetal acceleration of 16m / s2. what is the speed of the car?

Since the racing car moves at a certain speed v along the curve of the road, it is subject to centripetal acceleration:

a = (v ^ 2) / R, where R is the radius of curvature of the trajectory of the machine, we obtain:

v = √ (a ∙ R).

From the condition of the problem, it is known that the car moves with a centripetal acceleration a = 16 m / s ^ 2, the curvature of the road has a radius of R = 100 m. Let’s substitute the values of physical quantities in the calculation formula:

v = √ (16 m / s ^ 2 ∙ 100 m);

v = 40 m / s.

Answer: the vehicle speed was 40 m / s.