In: Physics
Hii, I am an expert in Physics. I understand from the question that you are supposed to predict/find how a robot will move when given conditions on velocity and acceleration. Always remember you can study the motion of any object given few conditions with the Newton's laws of motion.
Please read these laws of motion very carefully,
Now from these equations you can find velocity of robot, say after 10 seconds if robot starts from with zero velocity (v=0). Or you can also find what distance your robot will go in 1 minute and many things like that. You just have to plug in values in these equations. Only thing that is needed is your practice, which will help you in understanding which equation should be chosen to solve given question. Also remember that if velocity of any object is constant then acceleration is zero, because acceleration is nothing but the change in velocity and since there is no change in velocity so acceleration is zero.
Let's try to understand conditions given in your question.
1) When v=0, which means robot starts with zero velocity
Using equation (1), you can find what will be the velocity of robot after time 't', for example 10 seconds. Writing v=0, . Just put values of a & t to get the answer.
You can also find how much distance your robot will go in time 't' with given acceleration. So equation (2) becomes, .
And the equation (3) is same as equation (1).
2) When v=constant, then as we discussed earlier, a=0 in each equation. Here you can find displacement of your robot in time 't' using equation (2) which is,
3) & 4) When none of the v & a is zero, then you simply have to put the given values of veloctity and acceleration in the equations to find our robots's displacement or velocity after some time, say 1 hour.
Overall, the point is to properly use these equations of motion. Always remember these equations, they are very helpful. And don't forget to practice more problem on these topics.
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If you still have any doubt, please let me know in the comment section. All the best for your exams :)