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How do we get the displacement of a particle in a time interval t1 to t2 from its velocity time graph?
Answer: when the velocity time graph is given,then to find the displacement in time t1 to t2 ,just find the area under the graph from t1 to t2.
How do you get the displacement of a particle in a time interval?
The displacement of a particle moving in a straight line is a vector defined as the change in its position. If the particle moves from the position x(t1) to the position x(t2), its displacement is x(t2)−x(t1) for the time interval [t1,t2].
How can you find displacement of a particle in given time from its velocity time graph?
Displacement = velocity × time. By this formula we can easily find displacement in a V-T graph…. To find displacement in a V-T graph we just have find the area under velocity and time graph by just multiplying velocity and time…. So area under V-T graph gives us displacement….
How can the velocity of an object be calculated at any given instant in time?
Instantaneous velocity is a continuous function of time and gives the velocity at any point in time during a particle’s motion. We can calculate the instantaneous velocity at a specific time by taking the derivative of the position function, which gives us the functional form of instantaneous velocity v(t).
What is the difference between distance time graph and speed time graph?
A distance-time graph tells us how far an object has moved with time. A speed-time graphs measures velocity.
How do you calculate displacement?
The average velocity of the object is multiplied by the time traveled to find the displacement. The equation x = ½( v + u)t can be manipulated, as shown below, to find any one of the four values if the other three are known.
How do you find the speed on a distance time graph?
In a distance-time graph, the gradient of the line is equal to the speed of the object. The greater the gradient (and the steeper the line) the faster the object is moving.
How do you find displacement on a velocity-time graph?
Finding displacement on a velocity-time graph is extremely easy. The area under a velocity-time graph gives the measurement of the displacement of the object under consideration. A velocity-time graph is a graph between the time taken and the velocity acquired by the moving object during that time.
How do you find the acceleration of a particle after 2 seconds?
Ans: The velocity and acceleration of the particle after 2 seconds are 13 units/s and 4 units/s 2 respectively. The displacement ‘s’ of a particle at a time ‘t’ is given by s = 5 + 20t – 2t2. Find its acceleration when its velocity is zero.
How do you find the area between T1 and T2?
For a complete time interval between t 1 and t 2 displacement would be equal to the area enclosed between the curve and time axis between t 1 and t 2 or the area of the portion P Q R S. The area under a speed-time graph is the distance, not displacement. The area under a velocity-time graph is the displacement.
What is a velocity-time graph?
A velocity-time graph is a graph between the time taken and the velocity acquired by the moving object during that time. Here time taken is plotted along the x-axis and velocity acquired is plotted along the y-axis we know that displacement of an object is the product of velocity and time i.e., d = v × t