Question

A room is floating in free space accelerated 2 m/s² in the direction of x. A person is running towards the right side of the room with speed 2 m/s wrt to a fixed frame. The person throws a ball 5 m/s wrt to the person. If the distance between the person and the right side of the wall is 10 m. What is the time needed for the ball to reach the wall?

Answer 1

The time needed for the ball to reach the wall is 2 seconds.

Step-by-step explanation:

To find the time needed for the ball to reach the wall, we need to consider the motion of the ball and the person throwing it. Since the room is accelerating in the x-direction, we can break down the motion into two parts: the horizontal motion of the person and the ball, and the vertical motion of the ball.

First, let's consider the horizontal motion. The person is running towards the right side of the room with a speed of 2 m/s, and they throw the ball with a speed of 5 m/s relative to themselves. Since the ball is thrown horizontally, its velocity in the x-direction remains constant. Therefore, the time needed for the ball to reach the wall is equal to the distance between the person and the wall divided by the horizontal velocity of the ball:

t = distance / velocity = 10 m / 5 m/s = 2 seconds