5. [10 points] A racing car is instrumented to measure the magnitude and direction of the
acceleration and velocity in a horizontal plane. At one instant the velocity and acceleration are as
shown in the figure below, where the directions are defined with respect to the longitudinal axis
of the car.
a. Express the velocity and acceleration in intrinsic (n-t) coordinates.
b. Calculate the radius of curvature of the path of the vehicle.
$a=5 ms^{-2}$
$30°$
$60°$
$v = 40 m s^{-1}$
