A roller coaster is depicted in Figure P13.122. At point A, the radius of curvature of the path has a magnitude of 80 ft. A coaster car arrives at this point with a speed of 60 ft/s, which is increasing at the rate of 20 ft/s^2 at the instant. Determine the instantaneous acceleration of the car in magnitude and direction at the instant when it is at point A, the low point of the track.
13.122 A roller coaster is depicted in Figure P13.122. At point A, the radius of curvature of the path has a magnitude of 80 ft. A coaster car arrives at this point with a speed of 60 ft/s, which is increasing at the rate of 20 ft/s^2 at the instant. Determine the instantaneous acceleration of the car in magnitude and direction at the instant when it is at point A, the low point on the track.
Tangents to the track are horizontal at A and B. Roller coaster.
FIGURE P13.122.