A child sitting in an open car going at a constant speed throws a ball straight up in the air. The ball falls

When the child throws the ball straight up in the air while inside a car moving at a constant speed, the motion of the ball is influenced by both the initial velocity imparted by the child and the uniform motion of the car. Since the car is moving with a constant velocity, there are no additional forces acting on the ball while it is in the air relative to the car. Therefore, the ball follows a simple parabolic trajectory, going vertically upwards due to the initial throw and then falling downwards, relative to the car’s frame of reference; option [C].
Since the ball has no horizontal motion relative to the car, it remains directly above the child throughout its flight. As a result, when it descends, it falls back into the hands of the child, assuming the child’s hands remain in the same position throughout the motion. This is because both the child and the ball are moving at the same velocity horizontally, so there’s no relative motion between them in the horizontal direction. Consequently, the correct option is [C] in his hand, as the ball returns to the child’s hand due to the absence of any external horizontal forces acting on it within the car’s frame of reference.