Problems for Kinematics Problem Set 1

Constant and Average Velocity Problems

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Constant Velocity Is Equal Displacements Over Equal Time Periods

When an object travels with a constant velocity of v over a time period of t, the displacement, d, for the object can be calculated using the following equation:

So, for example, if an object moved with a constant velocity of 5 m/s for 3 s, then it would be displaced 15 m. Here is an example of that calculation:

The above equation could be rearranged using algebra into other forms. Here are all of its forms:

Try the following problems:

Problem [1] Kinematics Problem Set 1

Problem [2] Kinematics Problem Set 1

Problem [3] Kinematics Problem Set 1

Sometimes nothing specific is known about the velocity of an object. That is, it is not known if it was constant or not. Under such conditions when we divide the displacement by time, we get a value that is known as the average velocity. Here is an equation for average velocity:

In the above equation d is the displacement from the object's starting position to its ending position, and t is the time over which the displacement occurred. Knowing d and t we can calculate an average velocity. However, we can not claim to know exactly what the velocity was at a certain instant in time, just the average over the whole time period.

Try this problem:

Problem [4] Kinematics Problem Set 1


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