The position-time graph for a tennis ball thrown vertically upwards from the second floor of a school building is shown below.ignore all effects of air friction.The height of the second floor is 6,5m.The ball rises 0,9 m from the point of projection before it starts to fall to the ground. Write down the magnitude and direction of the accelaration of the ball while it is moving upwards
9,8m.s/2upward
To determine the magnitude and direction of the acceleration of the ball while it is moving upwards, we need to analyze the position-time graph provided.
From the graph, we can see that the tennis ball is thrown vertically upwards from the second floor, rises 0.9 m, and then starts to fall to the ground. The height of the second floor is given as 6.5 m.
Since the motion is vertically upwards, we can assume that the positive direction is upwards.
To find the magnitude and direction of acceleration, we need to look at the slope of the position-time graph. The slope of a position-time graph represents velocity, and the rate of change of velocity is acceleration.
At the point of projection, the velocity of the ball is zero since it has just been thrown upwards. As the ball moves upwards, the slope of the graph is positive, indicating that the velocity is increasing. This means that the acceleration is positive and in the same direction as the motion, which is upwards.
Therefore, the magnitude of the acceleration of the ball while it is moving upwards is positive.
To determine the magnitude and direction of acceleration while the ball is moving upwards, we need to analyze the position-time graph provided.
First, let's understand the different segments of the graph:
1. The ball initially moves upwards, starting from a height of 6.5m above the ground.
2. At a certain point, it reaches its highest point, which is 0.9m above the point of projection.
3. After reaching the highest point, the ball starts to fall downwards.
We know that acceleration can be determined by calculating the slope of the position-time graph. In this case, the acceleration while moving upwards can be found by calculating the slope in the first segment of the graph.
Looking at the graph, we can observe that during the upward motion segment, the slope is positive. This indicates that the displacement (position change) is increasing with time. Therefore, the magnitude of the acceleration is positive.
Since the ball is moving upwards in the second segment, we can conclude that the direction of acceleration is also upwards.
In summary:
Magnitude of acceleration: Positive
Direction of acceleration: Upwards