Posted by bobjahng on Wednesday, October 27, 2010 at 8:15pm.
An ant walks on a piece of graph paper straight along the x axis a distance of 10.0 cm in 2.20 s. It then turns left 30.0 degrees and walks in a straight line another 10.0 cm in 1.90 s. Finally, it turns another 70.0 degrees to the left and walks another 10.0 cm in 1.60 s.
a)Determine the x component of the ant's average velocity.
b)Determine the y component of the ant's average velocity.
c)Determine the magnitude of ant's average velocity.
d)Determine the direction of ant's average velocity.

physics  Henry, Thursday, October 28, 2010 at 10:19pm
a. Velocity vectors:
V1 = 10 cm / 2.2 s = 4.55 cm / s @ 0 deg.
V2 = 10 cm / 1.9 s = 5.26 cm / s @ 30 deg.
V3 = 10 cm / 1.6 s = 6.25 cm / s @ 100 deg.
X = hor = 4.65 + 5.26*cos30 + 6.25*cos100 = 4.65 + 4.56 + (1.08),
X = 8.12 cm / s.
b. Y = ver = 5.26*sin30 + 6.25*sin100,
= 2.63 + 6.16 = 8.79 cm / s.
c. Z^2 = X^2 + Y^2,
= (8.12)^2 + (8.79)^2,
= 65.93 + 77.26,
= 143.19,
Z = sqrt(143.19) = 11.97 cm / s
= Magnitude.
d. tanA = Y / X = 8.79 / 8.12=1.08,
A = 47.3 deg CCW = 42.7deg. E of N.
= Direction.
Answer This Question
Related Questions
 Physics  An ant walks on a piece of graph paper straight along the x axis a ...
 Physics  An ant walks on a piece of graph paper straight along the x axis a ...
 physics  An ant walks on a piece of graph paper straight along the x axis a ...
 physics  An ant walks on a piece of graph paper straight along the x axis a ...
 heeeeeelp maths  An ant is walking along the cartesian plane. It starts at the ...
 PHYSICS  an ant walks 22 cm in a northerly directions turns and walks ...
 need help with 2 physics problems  1. While following the directions on a ...
 asap  To get to school Eliza walks east to the corner of her street and then ...
 physics (science)  John walks 1.0 km north, turns and walks 1.2 km at 50 ...
 Physics  While following the directions on a treasure map, a pirate walks 49.7 ...
More Related Questions