What is the displacement after 3 seconds of a particle moving along a line if?

45feet
We know that the displacement along the straight line is the distance traveled by a particle along the straight line. Hence, the displacement after 3 seconds of a particle moving along a line is 45feet 45 f e e t .

How do you find the distance traveled through particle motion?

In order to find the distance traveled by a particle when given the velocity function of the particle, you take the integral of the absolute value of the velocity function. This means that the absolute value of the area under the curve of the velocity function equals the distance the particle travels.

What is the third second of motion?

What are Newton’s laws of motion? Newton’s laws of motion relate an object’s motion to the forces acting on it. In the second law, the force on an object is equal to its mass times its acceleration. In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.

How do you find the distance traveled during the given time interval?

In particular, when velocity is positive on an interval, we can find the total distance traveled by finding the area under the velocity curve and above the t-axis on the given time interval.

How do you find the third equation of motion?

What are the Three Equations of Motion also State How They can be Derived with the Help of Graph? Three Equations of Motion are v = u + at; s = ut + (1/2) at² and v² = u² + 2as and these can be derived with the help of velocity time graphs using definition acceleration.

What is the formula to find distance covered?

The distance travelled is the path taken by a body to get from an initial point to an end point in a given period of time, at a certain velocity. If the velocity is constant: Distance = time * velocity. d = v*t.

What is the formula of calculating distance?

To solve for distance use the formula for distance d = st, or distance equals speed times time.

How do you find the distance a particle travels in seconds?

A particle moves according to the equation of motion, s(t) = t2 − 2t + 3 where s(t) is measured in feet and t is measured in seconds. Find the total traveled distance in the first 3 seconds.

How do you find the displacement of a particle?

The definite integral of velocity on [a, b] gives the displacement of a particle on [a, b]. To find the position of a particle given its initial position and the velocity function, add the initial position to the displacement (integral of velocity). To find the total distance traveled on [a, b] by a particle given the velocity function…

How do you find the position of a particle in time?

Video transcript. The position of a particle moving along a number line is given by s of t is equal to 2/3 t to the third minus 6t squared plus 10t, for t is greater than or equal to 0, where t is time in seconds. The particle moves both left and right in the first 6 seconds.

Is the total distance traveled the same as the velocity curve?

Not quite, in this case, only because the velocity curve is both positive and negative on the interval. If you integrate the absolute value of velocity (which is speed), then you get the total distance traveled.