This problem is derived from a video shown in class. A small cart is rolling down an inclined track and accelerating. It fires a ball perpendicular to the inclined track as it moves. The origin of the reference frame is located at the spot from where the ball is shot out. The x-axis of the reference frame points downward along the inclined track. The y-axis of the reference frame points upward perpendicular to the inclined track.
The angle of the incline is 30°. When the ball is shot out with a 6m/s velocity perpendicular to the inclined track, the cart is moving at 5m/s along the inclined track. Please round your answers to 2 decimal places.
Along the inclined track, where is the cart one second after the ball is shot out?
in the x direction
Where is the ball located one second after it is shot out?
in the x and y direction