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Science, Part 55
Question 1: Discuss instantaneous velocity.
Answer 1: If we want to measure how fast something is moving in a certain direction at a particular time, we are looking for its velocity. In order to obtain the instantaneous velocity (that is, the velocity of the object at a very precise time), we must find the average velocity of the object and then try to decrease ?time as close as possible to zero. As ?t decreases, it approaches what is known as a limiting value, which is very close to the instantaneous velocity. Speed, in physics, is simply the magnitude of velocity, without the directional component. When one is driving, the car registers speed rather than velocity, since a speedometer is not capable of telling the direction in which the car is moving.
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Question 2: Discuss the horizontal range of a projectile.
Answer 2: When we refer to the horizontal range of a projectile, we mean the horizontal distance it will have covered when it returns to the height at which it was launched. So, for instance, if we shot a cannonball into the air, the horizontal range of the cannonball would be the distance from the cannon to where the ball landed. To find horizontal range, which is expressed simply as R, we may use the equations for projectile motion, only setting vertical distance to zero and substituting R for horizontal displacement. The resulting equation is:?=?02?sin2?0We can note that R will be greatest when the angle at which the projectile is propelled is 45 degrees.
Question 3: Discuss the basic equations for relative motion in one dimension.
Answer 3: In order to demonstrate how relative motion can be expressed in an equation, let us imagine a scenario in which car A is parked by the side of the road as car B moves down the road in a straight line. Both of these cars are observing car C. If both A and B assess the position of C at any given time, the equation will look like this: ?=?+?, which just means that the position of c as measured by a is equal to the position of c as measured by b plus the position of b as measured by a. We can make a similar equation for velocity, simply by substituting velocity for position in the above equation.
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