J.live said:Homework Statement
What would be the shape of Distance vs Time Graph when a ball is falling?
Please explain. Thanks you
The Attempt at a Solution
I think it will be a curve since the acceleration is constant (9.8 m/s^2) . the slope under the curve will be velocity which will change uniformly overtime? It can't be a straight line since that will make the velocity constant and acceleration zero? I am not sure , need to verify :/
The shape of a distance vs. time graph represents the relationship between the distance an object has traveled and the time it takes to travel that distance. It shows how the distance changes over time and can indicate the speed and direction of the object's motion.
If an object is moving at a constant speed, its distance vs. time graph will appear as a straight, diagonal line. This indicates that the object is covering the same distance in the same amount of time, resulting in a consistent speed.
A steep slope on a distance vs. time graph indicates that the object is moving at a higher speed. The steeper the slope, the faster the object is moving. This can be seen in the steepness of the diagonal line on the graph.
The direction of an object's motion can be determined from its distance vs. time graph by observing the slope of the line. If the slope is positive (rising from left to right), the object is moving in a positive direction. If the slope is negative (falling from left to right), the object is moving in a negative direction.
Yes, a distance vs. time graph can be used to calculate an object's velocity. Velocity is calculated by dividing the change in distance by the change in time. This can be determined by finding the slope of the line on the graph or by using the formula v = d/t.