Question

An object's position as a function of time i is given by x= bt^4 with
b a constant. Find an expression for the instantaneous velocity, and
show that the average velocity over the interval from 0 to any time t
one-fourth of the instantaneous velocity at t​

Answer 1

Answer:

We have now seen how to calculate the average velocity between two positions. However, since objects in the real world move continuously through space and time, we would like to find the velocity of an object at any single point. We can find the velocity of the object anywhere along its path by using some fundamental principles of calculus. This section gives us better insight into the physics of motion and will be useful in later chapters.