1. A person walks first at a constant speed of `5.00\ m//s` along a straight line from point `A` to point `B` and then back along the line from `B` to `A` at a constant speed of `3.00\ m//s`. (a) What is her average speed over the entire trip? (b) What is her average velocity over the entire trip?
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2. A particle moves according to the equation `x = 10t^2`, where `x` is in meters and `t` is in seconds. (a) Find the average velocity for the time interval from `2.00 s` to `3.00 s`. (b) Find the average velocity for the time interval from `2.00 s` to `2.10 s`.
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3. A car travels along a straight line at a constant speed of `60.0 mi//h` for a distance `d` and then another distance `d` in the same direction at another constant speed. The average velocity for the entire trip is `30.0 mi//h`. (a) What is the constant speed with which the car moved during the second distance `d`? (b) What If? Suppose the second distance `d` were traveled in the opposite direction; you forgot something and had to return home at the same constant speed as found in part (a). What is the average velocity for this trip? (c) What is the average speed for this new trip?
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