You are driving your 1800 kg car at 25 m/s over a circular hill that has a radius of 150 m. A deer running across the road causes you to hit the brakes hard while right at the summit of the hill, and you start to skid. The coefficient of kinetic friction between your tires and the road is 0.75. What is the magnitude of your acceleration as you begin to slow?

An object of negligible size moves in a circular path of radius 20 m with 90 RPM. Find its radial acceleration.

(III) An object of mass m is constrained to move in a circle of radius r. Its tangential acceleration as a function of time is given by a_tan = b + ct² , where b and c are constants. If v = v₀ at t = 0 , determine the tangential and radial components of the force, F_tan and F_R, acting on the object at any time t > 0 .

(II) For each of the cases described below, sketch and label the total acceleration vector, the radial acceleration vector, and the tangential acceleration vector.

(a) A car speeds up as it rounds a curve of constant radius.