Since the plane appears to be going in one direction (toward San Diego) in a straight line, you can assume that the change in position equals distance. Plug your known variables into the distance formula: \({\bi
For simplicity's sake, let's assume that old Gary ran to the west in a perfectly straight, 12-meter (32.8-foot) line, so his displacement equals the distance he traveled. We also know that it took him three seconds to cover the gap between his starting and ending points. Therefore, ...
The Wave Equation If you choose a point in a medium through which a wave is propagating, the period of the wave is the time it takes that point to oscillate back to its original position. Dividing this number into 1 yields the number of times the point oscillates each second, which is ...
Distance equals rate times time, but our problem is that the rate keeps changing. We must therefore approximate our answer. One way to approach the problem is to subdivide the time span into n intervals, to pick a time ti between each xi−1 and xi, and use g(ti) as the approximate...
What is the particle's average velocity in the y direction between t equals 0.200 seconds and t equals 0.300 seconds ? An object has an initial velocity of 10 m / s and an acceleration of 3 m / s squared. How long will it take for its final velocity to equal four times its initial...
1 yields the number of times the point oscillates each second, which is the frequency of the wave. Multiplying the wave's frequency by its wavelength, which is its physical length, yields the velocity of the wave. The relationship can be expressed as velocity equals frequency times wavelength....
Force equals mass times When the velocity of an object is quadrupled, by what factor is its momentum changed? At what speed should a ball of mass 2 kg travel so that it has a kinetic energy of 500 J? What is the mass of an object with kinetic energy of 1000 Joules and velocity of...
The specific weight of water γ equals ρ, the density of water, times g, the acceleration of gravity. Darcy's law in accordance with Eq. (5.2c) for the experimental setup of Fig. 5.5C is (5.5)q=QA=KhLL=−K∂h∂s=−KJ where s is again the direction of groundwater flow....
The area of a rectangle is length times height. On the v vs. t graph, length is equal to time and height is equal to velocity. Therefore, area on this graph equals velocity multiplied by time, which is the distance traveled. This is an important result! Area on a v vs. t graph ...
2. Since velocity times supply of money equals the gross domestic product, the money supply can be expected to grow comparatively rapidly to support GDP growth. 3. They panted with suspense as velocity sucked Di several meters underwater and the ferocious maelstrom whipped his figure to and fro...