macmillan learning A turtle ambles leisurely-as turtles tend to do-when it moves
ID: 1880593 • Letter: M
Question
macmillan learning A turtle ambles leisurely-as turtles tend to do-when it moves from a location with position vector rix = 1.55 m and ry-_2.43 m in a lettuce garden to another location, with position vector r2x-3.81 m and r2y4.07 m, where the lettuce appears to be tastier (but really isn't-this turtle can't see too well). The excursion takes 302 seconds to complete. What are the components and the magnitude of the turtle's average velocity, in meters per second? Number m s av,r Number m/s av Number m s avExplanation / Answer
Average Velocity is given by:
Avg Velocity = Total displacement/time taken
1.
Avg Velocity in x-direction
Vavg_x = dr/dt
Total time taken = 302 sec
dr = r2,x - r1,x
dr = 3.81 - 1.55 = 2.26 m
So,
Vavg_x = 2.26 m/302 sec = 0.0075 m/sec
2.
Avg Velocity in y-direction
Vavg_y = dr/dt
Total time taken = 302 sec
dr = r2,y - r1,y
dr = -4.07 - (-2.43) = -1.64 m
So,
Vavg_x = -1.64 m/302 sec = -0.0054 m/sec
3.
Vavg = Vavg_x i + Vavg_y j
Vavg = 0.0075 i - 0.0054 j
|Vavg| = sqrt (0.0075^2 + (-0.0054)^2) = 0.0092 m/sec
Please Upvote.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.