In order to find the magnitude you have to apply the Pythagorean theorem: √(18² + 12²) = √468 = 21.6 Therefore, the magnitude of the resultant vector is 21.6
The direction is given by the formula: α = tan⁻¹(v_y / v_x) = <span>tan⁻¹(12/18) = 33.7° Therefore, the direction will be 33.7° from the x-axis.</span>
Time is being measured in days here so if you want to calculate the rate of increase after one day, substitute 1 for t in your rate equation: dB/dt = 0.677598 cos(1.232(1)) dB/dt = 0.22
The dog would have traveled a greater distance than the bug. The car goes faster than the dog and will travel to the end of the road faster than the dog.
