Duluc+Huynh

1) Given maximum speed = 305 meters/minute, acceleration = 1.22 meters/second^2, total distance = 190 meters/second, vo = 0 i)Converted units (305 meters/minute)(minute/60 seconds)=5.083 meters/second Used v^2=vo^2+2a(x-xo) 5.083^2=0^2+2(1.22)(x-xo) 25.836=2.44(x-xo) x-xo=10.588 meters

ii)Used v=vo+at 5.083=0+1.22t t=4.166 seconds Multiplied this answer and answer in part one to get: t=8.332 seconds and x-xo=21.176 meters, this is the **time and distance** covered as the by the car accelerating at start and decelerating at end Took the distance above and subtracted it from total distance covered by the car to get: x-xo=168.822 meters, this is the distance in between the car's acceleration at start and deceleration at end Used x-xo=1/2(vo+v)t, given that the car's max speed is 305/min, assumed that v and vo in this equation were both 1.22 m/s 168.822=1/2(1.22+1.22)t 1=138.379 seconds Took this answer and added it with time covered as the by the car accelerating at start and decelerating at end to get: Total time = 177.154 seconds

2)Given total distance = 50 meters, initial velocity of rock one = 0, time of rock two = t-1 seconds, acceleration 9.8 meters/second i)Used x-xo=vot+1/2at^2 50=0t+1/2(9.8)t^2 t=3.194 seconds

ii)Used x-xo=vot+1/2at^2 50=vo2.194+1/2(9.8)(2.194)^2 vo=12.039 meters/second

Professor's Note : Good effort - Like the explanations !! Do not include numerical values in the final answer -- check my page


 * VISITED THE PAGE, NO NEW WORK WAS FOUND --- PROF.**


 * Week 5**
 * Part A**
 * In order to find vox, t and O need to be solved for.**
 * From the problem y-yo, x-xo, ay, and ax(assumed to be zero) is given.**
 * Used the equation y-yo=voysinO-1/2gt^2 to solve for time.**
 * Used pythagorean theorem to find magnitude of vo.**
 * Then used x-xo=vot+1/2at^2 with x-xo being the magnitude of vo to find vo.**
 * Solved for O using x-xo=votcosO.**
 * Solved for vox using vox=vocosO.**
 * Part B**
 * In order to find x displacement t needs to be known**
 * Given vox, y-yo, ay, and ax.**
 * Since vox is the same assumed vo and O were the same.**
 * Solved for t using -(y-yo)=voysinO-1/2at^2.**
 * Plugged t into x-xo=vocosOt to solve the problem.**

**Last week work was noted and this week, no new work !**