I graduated with a B.S. in Physics from the University of Utah in 2014 and began a career in teaching. I taught primarily high school physics courses at American Preparatory Academy for five years in Salt Lake City, UT before moving to Park City, UT where I currently teach middle school science, high school science, computer, and engineering courses at Silver Summit Academy. Last year I completed a M.A. in Science Education from Western Governors University, and this fall I will begin my eighth year as a teacher.
A body weighing 160 lb is dropped 2000 ft above ground with no initial velocity. Assuming that the force in pounds due to air resistance is -1/2 v, where v is the velocity of the body in ft/sec, determine the equation of the motion of the body. How far above the ground will the body be after 5 seconds?
What does travel in space have to do with radicals? Imagine that in the future we will be able to travel in starships at velocities approaching the speed of light (approximately 186,000 miles per second). According to Einstein's theory of relativity, time would pass more quickly on Earth than it would in the moving starship. The radical expression$$R_{f} \frac{\sqrt{c^{2}-v^{2}}}{\sqrt{c^{2}}}$$gives the aging rate of an astronaut relative to the aging rate of a friend, $R_{f}$, on Earth. In the expression, $v$ is the astronaut's velocity and $c$ is the speed of light.a. Use the quotient rule and simplify the expression that shows your aging rate relative to a friend on Earth. Working in a step-by-step manner, express your aging rate as$$R_{f} \sqrt{1-\left(\frac{v}{c}\right)^{2}}$$b. You are moving at velocities approaching the speed of light. Substitute $c,$ the speed of light, for $v$ in the simplified expression from part(a). Simplify completely. Close to the speed of light, what is your aging rate relative to a friend on Earth? What does this mean?
Lulza is jumping on a trampoline. H(t) = -acos(bt)+d models her distance above the ground (in m) t seconds after she starts jumping.
The trampoline is 3ft off the ground and it takes her 3 seconds to reach a maximum height of 15 ft when jumping. How high will she be in 5 seconds?
Calculate the variance of the small sample X: (1; 0; 0; 4; 5).
A rectangle is placed around a semicircle as shown below. The length of the rectangle is 10cm . Find the area of the shaded region.Use the value 3.14 for ?, and do not round your answer. Be sure to include the correct unit in your answer.
