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1 -- Part 2: Kinematics: Motion
It is important to understand the mathematical language of physics.
This text helps develop this skill.
In this type of problem, you have to work backwards: you are given one or more equations and are asked to use them to create a sketch of a process.
You can use the sketch to create a diagram of a process that is in line with the equations and sketch.
The equations could be used to solve the word problem.
There are many possible word problems for a mathematical description.
A sketch, motion diagram, kinematics graphs, and a verbal description of a situation that is con position-versus-time and velocity-versus-time is needed.
There are many graphs of the process.
The tions that the equation describes are the same.
The general equation for the linear motion axis looks like a spe slope and a +5.0 m intercept.
The object is indicated by the sign in front of the 3.0 m/s.
Imagine that the object of reference is a run and that the equation represents positive.
The object of reference is the runner.
The person on the bench is moving towards the runner.
The situation is shown in a motion diagram.
The spacing of the dots and the lengths of the velocity arrows show that the object of interest is moving at the same rate as the observer.
The per bench is the object of reference and observes.
The object of the runner is a runner.
The process is described by the interest moving toward the same equation as in the example: a person on a bench.
An initial sketch and motion diagram should be consistent with the equation and the new object of reference.
A consis tent motion diagram and an initial sketch are shown to the right.
Let's apply some representation techniques to linear motion.
A process is represented by the following interest.
To describe a process that is consis tent with this equation, use the equation to construct an initial sketch, motion diagram, and words.
The equation appears to be an application.
The path it travels is the result of di.
The car's speed and acceleration are positive.
The van has 2 tion on it.
Imagine that the equation describes the motion of a car passing a van on a straight highway.
The car is moving faster than the van.
The car goes at a rate of 2.0 m>s2 with respect to the van.
The van is the object of reference, the positive direction is the direction in which the car and van are moving.
There is a sketch of the situa tion.
At the start of the Equa, there is a mathematical representation that describes the motion of a cyclist.
The cyclist is traveling in a certain direction.
We can check the consistency of the different observing of the cyclist when the person starts.
They are in this case.
We will walk you through the motion in this chapter, which represents a car's 12 others.
An example problem has a time interval of 10 strategy.
The object of interest is the car.
The problem is the object of reference.
Pick the object that interests you.
The car is moving in a coordinate system with the plus sign.
From the graph, we can see that the car is moving in a positive direction.
An initial sketch is created.
The car is modeled as a point-like object moving along a straight line.
The magnitude of the velocity is decreasing and the velocity arrows get increasingly smal.
We draw a diagram.
If needed, draw motion diagrams and graphs.
To find the answer to the question you are investigating, use the known information in the first equation to solve the equations.
Evaluate the results to see if they are reasonable.
The car's position when it stops is able values.
The units are correct and the magnitudes are reasonable.
The car should never stop in the case of zero acceleration.
The result of dividing a nonzero quantity by zero is zero.
It takes an infinite time for the car to stop.
The limiting case is checked out.
Even though the cyclist's speed decreased, the acceleration is positive.
According to Mike, its original position is 16-48 m2 and its acceleration is 1-2.0 m.
Explain how to correct his answer if yes.
In this chapter, we learned about two simple models of motion--lin ear motion with constant velocity and linear motion with constant accelera tion.
The motion of objects is a special case of linear motion.
The following experiment is observational.
Take out a sheet of paper from your notebook and hold it in one hand.
Drop the text book on the floor parallel to the floor in the other hand.
The book is the first to land.
Drop every 0.10 s.
They land at the same time.
The first person to realize that it was easier to answer this question if he considered the motion of falling objects was Galileo Galilei.
Galileo thought that free fall was the same for all objects regardless of mass and shape.
Galileo thought that the speed of the objects was increasing as they moved closer to Earth.
The speed increases in the simplest way if the time of flight is used.
Galileo didn't have a video camera or a watch to test his hypothesis.
The speed of the bal should increase with time if the hypothesis is correct.
The origin of the coordinate axis is at the initial location of the bal.
The average velocity is determined by dividing the displacement of the ball between consecutive times by the time interval.
0.200 s is (0.196 m - 0.049 m)
A straight line is the best-fit curve for this data.
The metal ball's motion is modeled as motion with constant acceleration.
direction is not the same.
The minus sign is in front of the 9.8 m>s2.
The table has position and time data for a ball.
A motion diagram is the same at all clock readings.
The positive direction is moving in the right direction.
The slope of the line remains at rest.
The highest point is zero.
The highest point has an acceleration of 9.8 m/s2.
A car is behind a van.
The driver of the van suddenly slams on the brakes to avoid an accident.
The driver's reaction time is 0.80 s and the car's acceleration is also 9.0 m>s2.
We have two objects of interest and we represent this situ ation for each vehicle.
Capital letters are used to indicate quantities referring to the van and lowercase letters are used to indicate quantities referring to the car.
The process begins when the van stops.
The van's final position is the driver starting to brake.
The front bumper of the car is where the position of the car is.
The van's position is determined by its 45 m rear bumper.
There is a 55 m graph line for each vehi cle.
The van would stop about 10 m from where the car would stop.
The distance the van travels while stopped can be determined by the equation.
The car traveled at 25-m/s constant velocity.
The car is traveling at 18 m/s.
The van was moving slower than usual.
When the car started to brake, the subscript 0 was the car.
When the driver sees the van start slow, they both slowed down at the same rate.
The subscript 1 shows when the car's speed was greater than the driver's.
The eling was at 30 m/s.
The car slows down at a rate of 10 m>s2 after applying the brakes.
The second car has a 1.0-s reaction time according to the subscript 2.
The car stops moving.
This part of speed has decreased to 20 m/s.
Explain why tailgating accidents occur.
The general elements of physics knowledge should be matched with the appropriate examples.
I woke up at 7 am.
The point-like object (3) was born on November 26.
He should have a free fall.
Rolling ball is a physical phenomenon.
Figure Q1.10 shows a graph for a moving object.
When the object moves at constant velocity, a sandbag hangs from a rope attached to a hot air bal.
The rope connecting the bag to the bal oon is cut.
Observer 1 is in a hot air balloon while observer 2 is on the ground.
A second small ball is dropped by you.
When 1 and 2 see it go up and down.
An apple falls.
There are two small metal balls in your possession.
The car is travelling at 12 m/s.
The origin of statements that are not correct is a stoplight.
Your car's speed decreases when you apply the brakes.
You throw a smal bal.
The correct statement should be chosen.
It did 6.0 m/s2 in flight for the first time.
You notice the time it takes to come back when you throw a small ball upward.
He has a speed of 13 m/s.
You can give an example of each.
The object of reference should be specified.
Give an example if that is the case.
Give an example if that is the case.
Your sister has a toy truck.
You throw a ball.
You need to figure out the time interval in seconds to solve the problem.
The level of difficulty of the problem is indicated by the information.
The speed at which the speedometer reads is 65 miles per hour.
A car starts at rest and goes fast.
It was km/h and m/s.
Then it slows down until it reaches the next stoplight.
Represent the motion with a mo jet aircraft that can travel at three times the speed of sound.
Estimate the rate at which your hair grows.
You are watching the ground.
Indicate any assumptions you made.
A man is looking through a slit in a van in opposite directions.
She knows the distance between the two exits is 1.6 km.
A car is moving fast.
You can make a map of the path from where you live.
Represent the situation with a diagram.
A hat falls off a man's head.
Draw a reach the classroom from where you live and your average motion diagram representing the motion of the hat as seen by speed.
You drive 100 km east, do some sightseeing, and then turn where each observer is and what she is doing.
You stop for lunch when you drive 50 km west.
The interval within which the initial position object of reference and coordinate axis is known is determined by choosing an its.
Your friend took 17,000 steps in 6.
Two friends were caught in a storm.
They saw lightning from a distant cloud four seconds later.
The axis should be changed so that thunder can be heard.
Use significant digits as 8 to write your answer.
The front door is where you recorded your position.
The data should be examined.
You can use a position-versus-time graph.
The planet Earth is 4.22 0.01 light-years away.
Determine the length of 1 light-year and convert it to meters.
Spaceships traveling to other planets in the solar system move at an average speed.
Jim is 300 m ahead of the patrol car.
If Xena's position is zero and Gabriele's position is 3.0, you run the final third at a speed of 6.0 miles per hour.
A car is going 100 km.
At an average speed of 50 km/h, it travels the first 50 km.
When 100 m apart, Jane and Bob see each other.
The observer should be specified.
A car goes from rest to 10 m/s in 30 seconds.
Gabriele enters an east-west straight bike path at 3.0 km and rides west at a constant speed of 8.0 m/s.
The time where the speed limit is 25 m/s (55 mph) is determined by the average speed of the two cars during the collision.
A highway patrol interval needed to stop and the stopping distance for each car car observes him pass and quickly reaches a speed of 36 m/s.
The reference frame should be specified.
A bus leaves an intersection.
Indicate any assumptions you made.
A jogger is running at a fast pace.
The bus is going from a speed of +6 m/s to +20.0 m/s in 8.0 seconds.
Determine its jogger's speed with the same speed.
A person's motion is seen by another person.
If her racket pushed the ball for a distance of 0.10 m. When the person's speed becomes zero, what was the time interval for the racket-ball?
Lance was cycling at 10 m/s.
The distance record for being shot from a cannon magnitude 1.2 m>s2 was set by David "Cannonbal" Smith in 1998.
What do you have to do to get to (56.64 m)?
An automobile engineer found that the bumper of the truck was 180 m>s2 because of the impact that creased from 80 km/h to zero with an average acceleration liding of 16 km/h.
What do you know about Smith's flight indent?
The truck stopped.
The leader of the 40 was Col. John Stapp.
On Stapp's final sled run, point in different directions, allowing them to change sleds at a speed of 284.4 m/s.
They can accelerate to 1.2 m>s2 when swimming at a speed of 0.15 m/s or stopped with the aid of water brakes.
The 0.15 m/s to 0.45 m/s is how fast he should be.
A maximum speed of 11 m/s 41 was reached by Bolt.
In 1977 Kitty O'Neil ran the 100m dash in 2.0 s.
He ran the last part of the race at his maximum 20 s to stop, but he didn't know what time interval was needed to complete the race.
A bus is moving fast.
You want to know how fast your car goes.
During the second 1.0 s, 6.0 m during the third 1.0 s, the runners continue to have the same acceleration.
A car was hit by a meteorite in 1992, causing it to change speeds from -10 m/s to -20 m/s.
You can use the graph to see their initial positions.
Two cars are shown in a diagram.
The clock is indicated by the number near each dot.
When a car passes a location, an object moves so that its position changes in a second.
Car 1 will determine when the object stops.
Car 2 quantities concerning the motion, a story describ ing the motion consistent with the functions, and draw 64.
There are a lot of possibilities.
This is a two part process.
The graphical representations are used.
You accidentally dropped an eraser out of the window to find out where they were.
The result should be confirmed with 15 m above the ground.
Two cars are next to each other on a road.
The first car is traveling at 30 m/s and the second car is traveling at 24 m/s.
Represent the motions of the car.
You throw a tennis ball.
The initial speed is about 12 m/s.
Is 12 m/s realistic for an object that you can walk on.
While skydiving, your parachute opens and you slow down.
50.0 m/s to 8.0 m/s in 0.80 s.
If you throw your helmet upward, use some reasonable numbers.
If you hit an unpro above your hands, the helmet will rise to estimate the puck's acceleration.
What was the initial speed of the helmet?
You are standing in a canyon.
The place where the rock stopped burning is where you dropped it.
Listen to the sound of the accelera hitting the bottom.
How deep is the rocket?
How was your solution made?
Take a look at their effect.
The data can be used to determine the driver's time.
Your friend is holding a ruler.
You place your fingers on the sides of the ruler without touching it.
The friend dropped the ruler without warning.
You catch vehicles.
When entering the water, estimate their speed and time to reach the water.
The Leaning Tower of Pisa is 55 m high.
A person is moving up and down in the hot air.
At a constant speed of 7.0 m/s, the time interval needed to pass a semi-trailer bal oon needs to be estimated.
The truck is on the highway.
She accidentally releases the bag if you are on a two-lane highway.
If there are any assumptions used in your estimate, tell me about them.
You are traveling in your car on a one-way bridge.
They are 100 m apart when they are behind the same car.
Car A's speed decreases at 7.0 m/s each other car slams on the brakes to stop for a pedestrian who is second and Car B's speed decreases at 9.0 m/s each second.
Do the crossing.
The maximum speed of the cars is 0.60 s.
You are driving a car.
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