High School

The graph below plots the position versus time for a certain object moving along the x-axis. What is the average velocity over the following time intervals (in m/s)? Indicate the direction with the signs of your answers.

(a) 0 to 2.00 s _______________ m/s

(b) 0 to 4.00 s _______________ m/s

(c) 2.00 s to 4.00 s _______________ m/s

(d) 4.00 s to 7.00 s _______________ m/s

(e) 0 to 8.00 s _______________ m/s

Answer :

(a) for the time interval of 0 to 2s, the average velocity is 3 m/s.

(b) for the interval of 0 to 4s, the average velocity is - 3 m/s.

(c) for the interval of 2s to 4s, the average velocity is - 6 m/s.

(d) for the interval of 4s to 7s, the average velocity is 1.33 m/s.

(e) for the interval of 0s to 8s, the average velocity is -0.75 m/s.

How to calculate the average velocity of the object?

The average velocity of the object is calculated by applying the following formula as follows;

v = total displacement / total time of motion

(a) for the interval of 0 to 2s, the average velocity is;

v = (6 m - 0 m ) / (2 s - 0 s)

v = 3 m/s

(b) for the interval of 0 to 4s, the average velocity is;

v = ( - 6 m - 6 m ) / ( 4 s - 0 s )

v = - 3 m/s

(c) for the interval of 2s to 4s, the average velocity is;

v = ( - 6 m - 6 m ) / ( 4 s - 2 s )

v = - 6 m/s

(d) for the interval of 4s to 7s, the average velocity is;

v = ( - 2 m - (- 6m ) ) / ( 7s - 4 s)

v = ( -2 m + 6 m ) / ( 3 s )

v = 1.33 m/s

(e) for the interval of 0s to 8s, the average velocity is;

v = ( 0 m - 6 m ) / ( 8 s - 0 s)

v = -0.75 m/s

Learn more about average velocity here: https://brainly.com/question/24824545

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The missing graph of the position versus time is in the image attached.