INPUT ARTICLE: Article: Some math problems will not specify values of distance, but will tell you how long an object was moving and how fast it was moving.  You can calculate displacement using these time and speed values.  In this case, the formula would be: S = 1/2(u + v)t.  U = the object's initial velocity, or how fast it started going in a certain direction.  V = the object's final velocity, or how fast it was going at its last location.  T = the time the object took to get there. For example: A car is traveling down the road for 45 seconds (time taken).  The car turned west at 20 m/s (initial velocity) and by the end of the street, it was traveling at 23 m/s (final velocity).  Calculate the displacement based on these factors. Now that you know how long the car drove for, how fast it moved in the beginning, and how fast it was moving in the end, you can find the distance from the initial location to the final location. Your formula will look like this: S = 1/2(20 + 23)45. Remember to follow the order of operations, otherwise displacement will turn out to be a completely different value.  For this formula, it's okay if you accidentally switch initial and final velocity.  Since you will be adding these numbers first, it doesn't matter where they are in the parentheses.  For other formulas, however, switching initial with final velocity will give you a different displacement value. Your formula will look like this: S = 1/2(43)45.  First divide 43 by 2, which will give you 21.5  Then multiply 21.5 by 45, which should give you 967.5 meters.  967.5 is your displacement value, or how far your car is from its original spot.

SUMMARY: Use this formula when the problem specifies the object's velocity and time taken. Input the values for velocity and time into their respective variables. Calculate the formula once you have input the values into their correct places.


INPUT ARTICLE: Article: When you are ready to attach your new watch band, you will basically be going through the same process, but in reverse. Start by carefully threading the spring bars through the loop at the top of each side of the band. Your new band may have come with its own spring bars, but you need to make sure these fit the watch. Take one half of the band, and carefully place the bottom part of the spring bar into the indent in the shoulder, or case lug, of the watch. You are just putting the spring bar back to where it was before you took off the old band.  Once the bottom end of the spring bar is in the hole, carefully apply pressure downwards on the bar so you can slide the top part into the corresponding indent, or hole. You may find it easier to use your tool to compress the spring bar when you are manoeuvring it. Now you just have to repeat this with the other half of the band. Begin by slipping the bottom part of the spring into the small hole in the case lug, and then press down and slide the top part into the opposite hole.  Listen for a slight clicking sound that indicate the bar is fixed in the place in the hole. Once both parts of the band are in, check they are securely positioned and your band is not likely to fall off. If you are struggling to change the watch band, and it is proving too awkward, just pay quick visit to a local jeweller or watch store. With the right tools and some practice it is quite simple to change the band, so the jeweller will be able to do it very quickly. If you are buying a new band, the jeweller will often offer to change the band for you for free.

SUMMARY: Thread the spring bar through the new band. Insert the bottom end of one spring bar into the indent. Repeat on the other side. Visit a jeweller or watch store.


INPUT ARTICLE: Article: To write an effective prologue, you need to first consider which prologue type fits with your novel. Often, prologues are written after the novel has been completed or when a novel is in its finishing stages. If you are writing a prologue cold, with no other chapters written, you should still think about how the prologue is going to affect the rest of the book.  Think about how the prologue is going to enhance your novel and feel integral to the story. Will it reveal character, setting, or point of view? Will it provide backstory or frame the rest of the novel in a particular way? If you are writing a prologue for a completed book, you should also think about how the prologue will interact with your first chapter. The prologue should hook your reader in and be just as strong as the details and scenes in your first chapter, if not better. The prologue should not regurgitate details in the first chapter or feel redundant in any way, as this will likely lead to a boring and dry prologue. Often, prologues are set within a scene, especially in action and thriller novels. This gives the prologue a fast pace and helps to engage the reader right away. You should think about which scene or scenes you would like to use in your prologue. This may be based on the character voice you decide to use for the prologue. Use the five senses to make the scene come alive for the reader, with a focus on what the scene smells like, feels like, sounds like, and of course, how it looks. Have your character interact with these elements in the scene and use your character as a way for your reader to access the scene. Most prologues are successful if they are short and to the point. Try to use only one to two scenes in the prologue, as too many scenes can make the prologue feel too long and drawn out. Often, using one powerful scene as the prologue can be very effective and draw the reader in right away. Avoid hopping around in time a lot in your prologue, as this can make the prologue feel confusing or jumpy to the reader. Try to stay in one time period or within one to two time periods so the prologue does not become too long. If you decide to use your prologue as a way to access a certain character's point of view, make sure you get into the voice of your character. Think about how the character might speak to others and to themselves. Consider the age, background, and gender of the character, and how this might inform the character's voice or style of narration. If you are using the prologue as a way to access a character that does not appear again in the novel or only appears as a minor character, use the prologue to really explore the character's perspective. This is your opportunity to show the reader more about the character and delve into what makes the character tick. If the purpose of your prologue is to reveal the past moments in a character's life or to discuss the history of a character, you should make sure there is enough backstory in the draft. Include engaging details from the character's past and have the character show why these details are important or necessary to the rest of the story. Though the backstory should be about the character, it should also connect to the larger themes or ideas in the novel.

SUMMARY:
Choose which type of prologue fits your story. Create a scene with sensory details. Aim for a prologue with one to two scenes. Use a specific character voice. Put backstory in the prologue.