An ant crawls along a sidewalk with a velocity of 0.1 m/s in a direction that is 45° relative to edge of the sidewalk. If it has
traveled 1 m perpendicular to the edge of the sidewalk, how long has it been walking?
A.) 0.07 s
B.) 5 s
C.) 14 s
D.) 45 s
A.) 0.07 s
B.) 5 s
C.) 14 s
D.) 45 s
1 answer:
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Answer:
Explanation:
a)Magnitude =
84=
x= +50.67 or -50.67 units
b) We are given that the resultant is entirely in the -ve x direction which means that the y-component of the resultant is 0; It means that the y-component of the next vector = -ve of the y component of the initial vector i.e 67.
To make the magnitude 80 units in the negative x direction where the y component is 0, the x component must be -130.67(-50.67 - 80) as the x component is + 50.67units.
Magnitude = = 146.85 units
c) The direction vector = 67/146.85 i - 130.67/146.85 j where i corresponds to the vector in y direction and j corresponds to the vector in x direction. Or this vector is at an angle of 180 - i.e 152.85 degrees from the +ve x-axis.