The 1360-kg car travels along a straight road of increasing grade whose vertical profile i...

The 1360-kg car travels along a straight road of increasing grade whose vertical profile is given by the equation shown. The magnitude of the car’s velocity is a constant 100 km/h. When x = 200 m, what are the x and y components of the total force acting on the car (including its weight)?

Strategy: You know that the tangential component of the car’s acceleration is zero. You can use this condition together with the equation for the profile of the road to determine the x and y components of the car’s acceleration.