At 2:00 pm a car's speedometer reads 30 mi/h. At 2:10 pm it reads 50 mi/h. Use the mean value theorem to show that at some time between 2:00 and 2:10 the acceleration is exactly 120 mi/h^2. Please show line by line work and be as clear as possible.
Solution Preview
Proof:
Since the acceleration a is the derivative of the speed v, in other words, a=dv/dt.
Suppose v=f(t), the speed v is a function of ...
Solution Summary
This uses the mean value theorem for the speed of a car.
... The Central Limit Theorem states that if n is large, then the sampling distribution of the sample mean can be approximated closely by a normal curve. ...
... So we are back where we started-unable to find a consistent definition. ... According to this theory, some people commit illicit acts even beyond what they might ...
... basis of physical characteristics, Treisman later found that this isn't necessarily the case and modified the theory to allow for later processing of meaning. ...
... democratic socialism postindustrial economy interlocking directorate disengagement theory authoritarianism. ... themself in political power by means of secret police ...
... when I was a kid...well, it was green, but not green, it was really lime.' In other words, new ways of constructing meaning, whatever theory or philosophy one ...
... It means that the acceleration imparted on a body in a gravitational field is independent of the nature of the body. The expert postulates in special theory of ...
... the former, a new theory or paradigm establishes itself (think linear physics by Newton replaced by Einstein's theory of relativity). It doesn't mean that the ...
... Does that mean that one has to go through the lengthy process of finding the ... moment of inertia can be done rather easily if one uses the parallel-axis theorem. ...
... to-5 ratings, then we need not be concerned about measurement theory. For example, if we want to test the hypothesis that the foods have equal mean ratings, we ...
