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 acceleration if the velocity is constant?

If the velocity remains constant on an interval of time, then the acceleration will be zero on the interval. Example 1: The position of a particle on a line is given by s(t) = t 3 − 3 t 2 − 6 t + 5, where t is measured in seconds and s is measured in feet. a. The velocity of the particle at the end of 2 seconds.

How do you find the acceleration of an object with mass?

By Newton’s law F = m a, so the acceleration is F / m, where m is the mass of the object. Then we first have using the usual convention v 0 = v ( t 0) . Then s ( t) = s ( t 0) + ∫ t 0 t ( v 0 + F m ( u − t 0)) d u = s 0 + ( v 0 u + F 2 m ( u − t 0) 2) | t 0 t = s 0 + v 0 ( t − t 0) + F 2 m ( t − t 0) 2.

How do you calculate average acceleration from change in time?

Change in time is often stated as a time interval, and change in velocity can often be calculated by subtracting the initial velocity from the final velocity. Average acceleration is then simply change in velocity divided by change in time. Before you begin calculating, be sure that all distances and times have been converted to meters and seconds.

What does the slope of the displacement time graph represent?

Therefore, following are the takeaway from the displacement time graph: Slope is equal to velocity. Constant velocity is explained by the straight line while acceleration is explained by the curved lines. Positive slope means the motion is in the positive direction.

What does the area under the velocity represent in acceleration time graph?

The area under the velocity, represents the displacement of the object. In acceleration time graph, acceleration is the dependent variable and is represented by the y-axis and time is the independent variable and is represented by the x-axis. The slope of acceleration time graph is as given in the table:

How to find acceleration and velocity when velocity is 3/2 units?

(ii) To find acceleration and velocity when its velocity is 3/2 units. When velocity is 3/2 units, acceleration is 3 units/s 2 and displacement is 17/3 units The displacement x of a particle at time t is given by x = 160 t – 16t2, show that its velocity at t = 1 and t =9 are equal in magnitude and opposite in direction.