In: Physics
Create an equation for the velocity of a particle at any time t, stating the initial position, which cannot equal 0. The equation must include all of:
• Rational function
• Trigonometric function
a. Determine, using appropriate sums of rectangles, an over and under estimation of the displacement of the particle in the first 10 seconds. i. Explain how this estimation could be made more exact.
b. Determine the exact displacement of the particle for the first 10 seconds, and then determine the exact location of the particle after 10 seconds.
c. Determine the average acceleration of the particle from 0. Illustrate how your answer could have been determined by the graphs.
The numerical as well as graphical representation is given in the in the answers scripts.