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Average velocity

Please give step by step answers please.

1) The position versus time for a certain object moving along the x-axis is shown. The object's initial position is -3meters.

The graph is position in meters for the y axis and the x axis is time in seonds.

Point one on the grpah for 0 sec. is at (0,-3), 1 sec at (1,3), 2 sec (2,9), 3 sec (3,6.1 approx), 4 sec (4,4), 5 sec (5,4), 6 sec (6,0), for 7 sec (7,-4) and for 8 sec (8,-2) and 9 sec (9,0)

1) Find the average velocity in the time interval 0 sec to 4 sec. Answer in units of m/s.

2) Find average velocity for 2 to 4 sec, then for 4 to 7 sec, and then for 0 to 9 sec please.


3) A person takes a trip driving with a constant speed 98.5 km/h except for a 15.1 min rest stop. If the person's average speed is 67.4 km/h, how much time is spent on the trip? Answer in units of h?

Solution Preview

(1) There is some difference between average speed and average velocity.
The average speed of an object is defined as the distance traveled divided by the time elapsed. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time. Velocity is a vector quantity, so in this case the time interval is 0 sec to 4 sec, so the time elapsed is 4 sec.

The object's position is -3m at 0 sec and 4m at 4 sec and the object moves in a ...

Solution Summary

This solution is provided in 371 words. It describes the difference between average speed and average velocity, as well as demonstrates how to calculate average velocity and time spent on a trip.