Napolcon Bonaparte has just appointed you Marshall of France and has put you in charge of artillery (congratulations). You are standing on a hilltop in Waterloo when you spot the Duke of Wellington taking a power nap in the valley below. Having your trusty cannon in tow, you take careful aim and obliterate the Duke, thus saving the Empire and your job. Assuming that your cannon was fired with a muzzle velocity of 200 m/s, your trajectory of fire was 15° with respect to horizontal and the projectile took 11.2 seconds to reach the Duke: (a) What is the vertical distance from the cannon muzzle to the Duke? (b) What is the horizontal distance from the cannon muzzle to the Duke? (c) What is velocity (magnitude and direction) of the projectile just before it hits the Duke?

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Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.