Terminal velocity is the maximum velocity that an object can reach when falling through a fluid, such as air or water. At this point, the force of gravity is balanced by the resistance of the fluid, resulting in a constant velocity.
To calculate terminal velocity from a displacement-time graph, you will need to measure the slope of the line during the terminal velocity phase. This slope will represent the constant velocity of the object, which is the terminal velocity.
The formula for calculating terminal velocity is Vt = mg/c, where Vt is the terminal velocity, m is the mass of the object, g is the acceleration due to gravity, and c is the drag coefficient of the object.
Calculating terminal velocity is important in understanding the motion of objects through a fluid. It can also help in predicting the behavior of objects in different environments, such as during skydiving or in fluid dynamics research.
The terminal velocity of an object is affected by the object's mass, size, shape, and the properties of the fluid it is falling through. Other factors such as air pressure and temperature can also play a role in determining terminal velocity.