Math

QuestionBen walks 500 m to a store, then 200 m past his house in 17 minutes. What is his average velocity? Round to the nearest tenth.

Studdy Solution

STEP 1

Assumptions1. The distance from Ben's house to the corner store is500 meters. . The distance from Ben's house to the neighbor's house is200 meters.
3. The total time taken by Ben from his house to the neighbor's house is17 minutes.
4. We need to find the average velocity, which is the total displacement divided by the total time.

STEP 2

First, we need to find the total displacement. Displacement is the shortest distance from the initial to the final position, which in this case is the total distance Ben walked.
Displacement=Distancetostore+DistancetoneighborDisplacement = Distance\, to\, store + Distance\, to\, neighbor

STEP 3

Now, plug in the given values for the distances to the store and to the neighbor to calculate the displacement.
Displacement=500m+200mDisplacement =500m +200m

STEP 4

Calculate the total displacement.
Displacement=500m+200m=700mDisplacement =500m +200m =700m

STEP 5

Now that we have the total displacement, we can find the average velocity. The average velocity is the total displacement divided by the total time.
Averagevelocity=Displacement/TimeAverage\, velocity = Displacement / Time

STEP 6

Before we plug in the values, we need to convert the time from minutes to seconds, because the standard unit of velocity is meters per second (m/s).
Time=17minutes=17times60secondsTime =17\, minutes =17 \\times60\, seconds

STEP 7

Calculate the total time in seconds.
Time=17times60=1020secondsTime =17 \\times60 =1020\, seconds

STEP 8

Now, plug in the values for the displacement and the time to calculate the average velocity.
Averagevelocity=700m/1020sAverage\, velocity =700m /1020s

STEP 9

Calculate the average velocity.
Averagevelocity=700m/102s=.68627m/sAverage\, velocity =700m /102s =.68627\, m/s

STEP 10

Round off the average velocity to the nearest tenth.
Averagevelocity=0.7m/sAverage\, velocity =0.7\, m/sBen's average velocity is0.7 m/s.

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