Mechanics- general motion in a straight line

In summary, the robot starts at a position and moves away from it by 2.56m in the first 2 seconds. Then, it moves back towards its starting position by 0.81m in the next 3 seconds. After that, it moves away again by 0.81m in the following 3 seconds. Finally, it moves back to its starting position by 2.56m in the last 2 seconds. The total distance traveled by the robot in 10 seconds would be 5.14m.
  • #1
Shah 72
MHB
274
0
20210605_104007.jpg

I don't understand how to find the distance that robot travels in 10s.
 
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  • #2
t=0 to t=2 … the robot moves away from its starting position 2.56m

t=2 to t=5 … the robot moves back toward its starting position 0.81m

t=5 to t=8 … the robot moves away again from its starting position 0.81m

t=8 to t=10 … the robot moves back to its starting position 2.56m

total distance traveled by the robot would be … ?
 
  • #3
skeeter said:
t=0 to t=2 … the robot moves away from its starting position 2.56m

t=2 to t=5 … the robot moves back toward its starting position 0.81m

t=5 to t=8 … the robot moves away again from its starting position 0.81m

t=8 to t=10 … the robot moves back to its starting position 2.56m

total distance traveled by the robot would be … ?
Thank you very much!
 

FAQ: Mechanics- general motion in a straight line

What is the difference between distance and displacement?

Distance refers to the total length traveled by an object, while displacement refers to the straight-line distance between the starting and ending points of an object's motion. Displacement takes into account both the distance and direction of an object's motion.

What is the equation for calculating average velocity?

The equation for average velocity is displacement divided by time, or v = Δx / Δt. This equation calculates the average speed and direction of an object's motion over a specific period of time.

How does acceleration affect an object's motion?

Acceleration is the rate of change of an object's velocity. If an object is accelerating, it is changing its speed and/or direction. A positive acceleration means the object is speeding up, while a negative acceleration means the object is slowing down.

Can an object have a constant speed but changing velocity?

Yes, an object can have a constant speed but changing velocity. This can occur when an object is moving in a circular path, as its velocity is constantly changing due to the change in direction, but its speed remains constant.

How does the slope of a position-time graph relate to an object's velocity?

The slope of a position-time graph represents an object's velocity. A steeper slope indicates a higher velocity, while a flatter slope indicates a lower velocity. A horizontal line on a position-time graph represents an object at rest, with a velocity of 0.

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