In an arcade video game, a spot is programmed to move across the screen according to x = 8.00t - 0.500t^3, whe
In an arcade video game, a spot is programmed to move across the screen according to x = 8.00t - 0.500t^3, where x is distance in centimeters measured from the left edge of the screen and t is time in seconds. When the spot reaches a screen edge, at either x = 0 or x = 15.0 cm, t is reset to 0 and the spot starts moving again according to x(t).
(a) What is its acceleration when this occurs?
cm/s^2 (magnitude)
(b) When does it first reach an edge of the screen after t = 0?
x = 8.00t - 0.500t^3
what occurs >>> spot becomes stationary
stationary > v = dx/dt =0 = 8 - 0.5* 3t^2
t^2 = 8/1.5
t = 2.31 s
=============
acceration (a) = dv/dt = - 0.5*3 * 2t = - 3 t
acceleration when that happens = a = - 3 *2.31 = - 6.93 cm/s^2
magnitude = 6.93 cm/s^2
-------------------
at t=0 , x =0
it reaches the edge x = 15 cm
15 = 8t - 0.5 t^3
t^3 - 16 t + 30 = 0
solve for t
t1 = - 4.729 s is one root (which can be ignored as negative)
(t+4.729) is one factor
long division can be used to find other 2 roots
t^2 (t+4.729) - 4.729 t (t+4.729) + 6.363 (t+4.729) =0
t^2 - 4.729 t + 6.363 =0
t = {4.729 +- [22.363 - 25.452]^1/2}/2
these are imaginary roots
meaning that spot will never reach x =15 cm
 |
 Berzerk Robot T Shirt Retro Video Game Arcade Gamer Geek Nerd Tee Funny S 2XL  US $10.99
|
 T182 Atari Video Games Old School Arcade T shirt NEW US $11.95
|
 Tempest Retro 80s Arcade Video Game T Shirt US $22.99
|
 NEW VTG ATARI 2600 VIDEO GAME ARCADE MACHINE T SHIRT L US $8.77
|
 Qbert Arcade Classic Video Game T Shirt US $19.99
|
 NEW ATARI VIDEO ARCADE GAME ASTEROIDS JOYSTICK XXL 2XL EXTRA LARGE RETRO TSHIRT US $9.99
|
 ATARI Hooded Sweatshirt Retro ARCADE VIDEO GAME Hoodie COOL 80s Hoody GEEK US $19.99
|
 Vintage Arcade Video Game Cabinet T Shirt Black US $13.99
|
 Ghost n Goblins Gameboy NES SNES Arcade Video Game Retro Gamer Ladies T shirt US $17.27
|
 VINTAGE ATARI 2600 VIDEO GAME ARCADE MACHINE T SHIRT L US $11.99
|
 CLASSIC ARCADE VIDEO GAME SPACE INVADER WHITE BLACK BELT BUCKLE BBG1645 US $.99
|
![ATARI Retro Geek Arcade Game Tee Cool 80s New Video Games Co T Shirt orngL]](http://www.largetshirt.com/images/e/190681348159_0.jpg) ATARI Retro Geek Arcade Game Tee Cool 80s New Video Games Co T Shirt orngL] US $9.99
|
 XYBOTS T Shirt Video Game Nintendo Arcade Atari Sega Amiga US $16.99
|
 ARCADE VIDEO GAME KILLER SHARK BOMB BULLET BELT BUCKLE BBG1594 US $.99
|
 Asteroids T Shirt Video Game Retro Nintendo Arcade Atari Sega US $15.99
|
 Gauntlet T Shirt Video Game Retro Nintendo Arcade Atari Sega US $15.99
|
 Dragons Lair Dirk The Daring Sketches Drawing Board Arcade Video Game T Shirt T US $19.95
|
 Arcade Video Game Nerd Gamer Cool New Retro 8 bit Coin Return Mens T shirt US $9.99
|
 Dragons Lair Dirk The Daring Game Over Arcade Video Game T Shirt Tee US $17.95
|
 Its on Like Donkey Kong boy arcade game video T Shirt US $11.95
|
 Tetris Tengen Push Start Title Screen Retro Arcade Video Game T Shirt Tee US $22.95
|
 WEAPONS OF CHOICE Gamer FPS Arcade Video Game T SHIRT US $18.69
|
 T SHIRT LARGE MENS VIDEO GAME ARCADE ATARI GALAGA RETRO VINTAGE RETRO 42 44 NEW US $17.99
|
 Track And Field Retro Video Arcade Game T Shirt US $17.99
|
 Old School Arcade Video Game Controler Mens T shirt US $12.95
|
 Retro Sucks Arcade Machine Tote Bag Cool Shopping Video Game Coin On US $9.35
|
 VIDEO ARCADE GAME KILLER BOMB BULLET BELT BUCKLE US $6.75
|
 LARGE T SHIRT MENS VIDEO GAME ARCADE MORTAL KOMBAT MOVIE CLASSIC GRAPHIC LOGO US $17.99
|
 2X XXL T SHIRT MENS VIDEO GAME ARCADE MORTAL KOMBAT MOVIE CLASSIC GRAPHIC LOGO US $17.99
|
 MEDIUM T SHIRT MENS VIDEO GAME ARCADE MORTAL KOMBAT MOVIE CLASSIC GRAPHIC LOGO US $17.99
|
 vintage 80s ATARI BATTLEZONE T Shirt MEDIUM arcade video game screen stars thin US $24.99
|
 BRAND NEW PACMAN YELLOW ENAMEL VIDEO ARCADE GAME METAL BELT BUCKLE US $5.99
|
 Pac Man Level 1 Womens T Shirt XL Brand NEW Arcade Namco Video Game US $15.19
|
 Maria Bros Wii T Shirt NEW Arcade Video Game Nintendo Red Mens Cotton XL US $12.99
|
 VINTAGE ATARI 2600 VIDEO GAME ARCADE MACHINE T SHIRT XL US $11.99
|
 VINTAGE ATARI 2600 VIDEO GAME ARCADE MACHINE T SHIRT M US $11.99
|
 Burger Time Retro 80s Arcade Video Game T Shirt US $19.99
|
 T SHIRT SMALL MENS VIDEO GAME ARCADE MORTAL KOMBAT MOVIE CLASSIC GRAPHIC LOGO US $17.99
|
 VINTAGE ATARI 2600 VIDEO GAME ARCADE MACHINE T SHIRT S US $11.99
|
 T SHIRT XL MENS VIDEO GAME ARCADE ATARI GALAGA RETRO VINTAGE RETRO 46 48 COIN US $17.99
|
 Donkey Kong Classic Arcade Video Game T Shirt US $19.99
|
 Pac Man Belt Buckle Arcade Video Game PacMan SALE US $15.99
|
 Space Ace Character Vintage Style Arcade Video Game 80s T Shirt Tee US $17.95
|
 Arcade Video Game Nerd Gamer Cool New Retro T shirt US $13.99
|
Online Arcade Games : Highly Entertaining Activities To Kill Time
Playing gaming activities is very important in the shaping of personalities of the individuals. The playing trends have changed radically from the past couple of years and in the current time, computer gaming programs have become ultimately popular among the masses. This is due to the fact that computer gaming programs use great backgrounds and vivid colours.
Thus, undoubtedly these computer gaming programs are becoming immensely popular among people of all the age groups. Now, people can also play these astounding activities on the Internet. There are plenty of websites that offer the players many activities to play. The Internet games fall into many categories like puzzle, sports, strategy, dress up and so on. Among all of them, individuals just adore playing online arcade games. They are very exciting and thrilling to play and you will feel extremely chilled while playing them. You can find plenty of these games on the Internet portals, and there you can play them at anytime and from anywhere.
Some of the websites require the users initial registration while others allow you to play without any registration. Some of the popular online arcade games are Collapse, Fill It, Battle Tank and so on. These activities will keep you hooked for hours and you will not feel bored at all while playing them. They are addictive exercises and become immensely exciting as you go to the next levels. The websites also give you plots of these amazing activities and by reading them, you can get an idea of them. So, play whatever excite you at absolutely free of cost on these Internet sites.
These amazing gaming programs deliver excellent audio and video quality and their exquisite features make the playing absolutely fun. The marvellous background also make them utterly beautiful. Some of these gaming programs can also be played by more than one player and therefore, you will feel extremely thrilled while playing them with your friends. So, it will be amazing to spend your weekends by playing free online games with your friends.
Always read the instructions carefully before starting these thrilling online arcade games. These online gaming portal programs challenge the players by putting them in tricky situations and they need utmost determination and concentration to win these activities. So, if you have some free time and you don't know how to kill it, then playing online arcade games is the perfect way to pass time.
About the Author
Aradhana Gupta is an expert author. She has written many articles on Online Dress Up Games & Online flash games.
