tutorial sheet 3 - PAP111/PHYS1A Claus-Dieter Ohl Tutorial...

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PAP111/PHYS1A Tutorial Sheet 3/4 9 th of September 2010 Claus-Dieter Ohl 1 The projectile motion in absence of air resistance is a parabola, thus in an xy-coordinate system it follows the trajectory y = a x 2 + b x + c . The horizontal velocity is not accelerated, thus is constant and therefore x = v x t ; thus y = y ( x ( t )). The vertical motion is accelerated, which you can easily show from the time derivative of y , as dy/dt ≠ 0 except for the trivial cases. Projectile Motion: 1) The US space defense initiative (SDI) dates back to the 80’s of last century. At that time there was the idea to use lasers to blast away rockets attacking US and allies. The SDI concept remained, yet nowadays intercepting rockets are launched to hit the attacking unmanned airborne vehicle. In a more peaceful mission, consider Pete throws a snowball at time t = 0 onto your house being at a distance x 0 . You want to prevent Pete’ s attack and you fire a firework rocket with acceleration a f and an initial velocity v i =0, or an intercepting snowball with initial velocity v i = u s j
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