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course Phy 201
6/8 4:00 pm
Our starting idea is that when a ball is rolled down an incline we expect it to speed up. Our experience of inclines leads us to the following questions: What do we mean by velocity?
What we mean by velocity is the average velocity. Average velocity of an object by determining the time required to travel through a known displacement. It has to be called the average velocity, because velocity keeps changing.
How can we determine the velocity of a ball rolling down an incline?
You can determine the velocity of the ball rolling down an incline by determining the time required to travel through a known displacement.
We anticipate from our experience that a ball traveling down a greater incline, starting from rest, will experience a greater change in velocity. How can we determine whether the velocity actually changes, and whether the velocity increases in the manner that we expect?
We can determine whether the velocity actually changes by finding the average rate of change of the velocity.
How could we determine the velocity of the ball at a specific point?
We can determine the velocity of the ball at a specific ball by finding the acceleration at an instant using t0. First find the average acceleration between two points is the slope. Use t0 as a fixed point and find a series of graph points approaching t0. For Each point fin the slope between t0 and the point and that is the average acceleration between that two points. Find the slope of the tangent line of these triangles, and that is the acceleration at the instant t0.
How do we determine the rate at which the velocity changes? How can we understand the concept of the rate at which velocity changes?
To find the average rate that velocity changes by taking ‘dv/ ‘dt. The rate at which velocity changes is the slope of velocity vs time graph.
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&#Good responses. Let me know if you have questions. &#