the average velocity for the time interval from 3.00 to 3.10 s. 5. The position of a particle moving along the x-axis varies in time according to the expression x =4t?, where x is in meters and tis in seconds. Evaluate its position (a) at t=4.00 s and (b) at 4.00 s + At. (c) Evaluate the limit of Ax/Atas Atapproaches zero to find the velocity at t=4.00 s.

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Chapter1: Units, Trigonometry. And Vectors
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please answer number 5 with a complete solution

3 A person travels by car from one city to another with
different constant speeds between pairs of cities. She
drives for 30.0 min at 80.0 km/h, 12.0 min at 100 km/h,
and 45.0 min at 40.0 km/h and spends 15.0 min eat-
ing lunch and buying gas. (a) Determine the average
speed for the trip. (b) Determine the distance between
the initial and final cities along the route.
Note: For (a), express your answer in m/s, and for (b), express your answer in m.
4. A particle moves according to the equation x=20t?, where x is in meters and tis in
seconds. (a) Find the average velocity for the time interval from 4.00 s to 5.00 s. (b) Find
the average velocity for the time interval from 3.00 to 3.10 s.
5. The position of a particle moving along the x-axis varies in time according to the
expression x =4t?, where x is in meters and tis in seconds. Evaluate its position (a) at
t=4.00 s and (b) at 4.00 s + At. (c) Evaluate the limit of Ax/Atas Atapproaches zero to
find the velocity at t=4.00 s.
Transcribed Image Text:3 A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 30.0 min at 80.0 km/h, 12.0 min at 100 km/h, and 45.0 min at 40.0 km/h and spends 15.0 min eat- ing lunch and buying gas. (a) Determine the average speed for the trip. (b) Determine the distance between the initial and final cities along the route. Note: For (a), express your answer in m/s, and for (b), express your answer in m. 4. A particle moves according to the equation x=20t?, where x is in meters and tis in seconds. (a) Find the average velocity for the time interval from 4.00 s to 5.00 s. (b) Find the average velocity for the time interval from 3.00 to 3.10 s. 5. The position of a particle moving along the x-axis varies in time according to the expression x =4t?, where x is in meters and tis in seconds. Evaluate its position (a) at t=4.00 s and (b) at 4.00 s + At. (c) Evaluate the limit of Ax/Atas Atapproaches zero to find the velocity at t=4.00 s.
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