An ant undergoes three successive displacements: ?⃗1=3.00 m,20.0 degrees south of east ?⃗2=2.00 m,north ?⃗3=7.00 m,35.0 degrees west of south a) Carefully sketch and label the three displacements with their tails at the origin. Use a coordinate system in which the positive x-axis is east and the positive y-axis is north. b) Calculate the x-and y-components of each of the displacements. c) Use the results of part b) to calculate the distance between where the ant begins and where it ends. d) What fourth displacement (magnitude and direction) is necessary to return the ant to its initial position?

At the instant shown in (Figure 1), the car at A is traveling at 10 m/s around the curve while increasing its speed at 5.5 m/s². The car at B is traveling at 25.5 m/s along the straightaway and increasing its speed at 2 m/s². Figure B VB 4 100 m ·x 100 m 45° < 1 of 1 VA = 10 m/s Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) VA/B = Submit LO Di μÀ Part B μ Ω % Value Previous Answers X Incorrect; Try Again 0 Å m S

The particle travels with a constant speed of 300 mm/s along the curve. Determine the particle's acceleration when it is located at point (200 mm, 100 mm) and sketch this vector on the curve. у (mm) 20(10) x (mm)

A soccer ball is kicked at an angle of 60° from the ground with an initial velocity of 70m/s. How long is the ball in the air? How far does the ball travel horizontally? As its peak height, how far is the ball from its initial point?

A soccer ball is kicked with an initial horizontal velocity of 18 m/s and an initial vertical velocity of 13 m/s. 1) What is the initial speed of the ball? 2) What is the initial angle ? of the ball with respect to the ground? 3) What is the maximum height the ball goes above the ground? 4) How far from where it was kicked will the ball land?