A turtle ambles leisurely-as turtles tend to do-when it moves from a location wi

Question

A turtle ambles leisurely-as turtles tend to do-when it moves from a location with position vector r_1x = 1.57 m and r_1y = -2.63 m in a lettuce garden to another location, with position vector r_2x = 3.81 m and r_2y = -4.19 m, where the lettuce appears to be tastier (but really isn't-this turtle can't see too well). The excursion takes 351 seconds to complete. What are the components and the magnitude of the turtle's average velocity, in meters per second? v_av, x = m/s v_av, y = m/s |v vector_av| = m/s

Explanation / Answer

Solution:

here,the displacement in x- direction would be:

rx = 3.81 - 1.57 = 2.24 m

hence: vx = 2.24/351 =6.38 ×10-3 m/s

similarly;

the displacement in y- direction would be:

ry = -4.19 + 2.63 = -1.56 m

hence:

vy = -1.56/351 =4.44 ×10-3 m/s

For magnitude of the velocity:

Vavg = (vx2+ vy2)1/2

=> Vavg = 7.7729 ×10-3 m/s

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