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A fire ant, searching for hot sauce in a picnic area, goes through three displacements along level ground: d1 for 0.40m southwest (that is, at 45° from directly south and from west), d2 for 0.50m due
A fire ant, searching for hot sauce in a picnic area, goes through three displacements along level ground: d1 for 0.40m southwest (that is, at 45° from directly south and from west), d2 for 0.50m due east, and d3 for 0.60m at 60° north of east. Let the positive x direction be east and the positive y direction be north. What are (a) the x component and (b) the y component of d1, d2 and d3 respectively? What are (c) the x component, (d) the y component, (e) the magnitude, and (f) the direction of the ant's net displacement? If the ant is to return directly to the starting point, (g) how far and (h) in what direction should it move?