Compute the x- and y-components of the vectors A, B, C, and D in Fig. E1.24.

The figure shows vectors $\stackrel{\rightharpoonup }{A}$ and $\stackrel{\rightharpoonup }{B}$. What are the x and y components of $\stackrel{\rightharpoonup }{A}$?

A toy gun shoots a plastic ball $10\mathrm{m}/\mathrm{s}$ at an angle of 25° above the horizontal. What is the vertical component of the ball's velocity when it left the gun?

Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm long and is 60.0° below the x-axis in the fourth quadrant (Fig. E1.35). Use components to find the magnitude and direction of (b) A - B In each case, sketch the vector addition or subtraction and show that your numerical answers are in qualitative agreement with your sketch.

Find the magnitude and direction of the vector represented by the following pairs of components: (a) Ax = −8.60 cm, Ay = 5.20 cm:

Your neighbor Paul has rented a truck with a loading ramp. The ramp is tilted upward at 25°, and Paul is pulling a large crate up the ramp with a rope that angles 10° above the ramp. If Paul pulls with a force of 550 N, what are the horizontal and vertical components of his force? (Force is measured in newtons, abbreviated N.)

A jet plane taking off from an aircraft carrier has acceleration a = ( 15 m/s², 22° above horizontal). What are the horizontal and vertical components of the jet's acceleration?

Jack and Jill ran up the hill at 3.0 m/s. The horizontal component of Jill's velocity vector was 2.5 m/s.b. What was the vertical component of Jill's velocity?

Let B = (5.0 m, 30 degrees counterclockwise from verically up). Find the x- and y- components of B in each of the two coordinate systems shown in FIGURE EX3.21.