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Answer:
The y-component of the car's position vector is 670m/s.
The x-component of the acceleration vector is -3, and the y-component is 40.
Explanation:
The displacement vector of the car with velocity
is the integral of the velocity.
Integrating we get the displacement vector
:
Now if the initial position if the car is
then the displacement of the car at time is
Now at , we have
The y-component of the car's position vector is 670m/s.
The acceleration vector is the derivative of the velocity vector:
and at it is
The x-component of the acceleration vector is -3, and the y-component is 40.
The kinematics and conservation of momentum relationships allow to find the results for the questions about the measurements and conditions to know the accident conditions are:
1) The principles of conservation of momentum and kinematics.
2)
3) The factors that influence the direction and distance traveled are:
The initial speed of the vehicles
The mass of the vehicles
Pavement conditions: dry, wet, humid, with dirt or loose sand.
1) Kinematics studies the movement of bodies, they look for relationships between position, speed and acceleration.
To analyze the accident, you must answer a question such as what speed the vehicles had before the accident, this is the initial speed of each one and their directions.
When reviewing the kinematics relationships we have.
Where the acceleration is given by Newton's second law.
fr = m a
The friction force is given by the expression.
fr = μ N
fr = μ mg
Let's Substitute.
μ m g = m a
a = μ g
The friction coefficient is tabulated, for different types of rubber, pavement and wet, dry conditions, etc.
Therefore, the researcher must measure the braking distance of the vehicles, which can be taken from the mark of the tires on the road and note the condition of the pavement if it is dry or wet and the visibility of the day.
This is the speed of the vehicles just after the impact, using the law of conservation of momentum you can find the speed of the vehicles before the impact
\f
Where this is a vector expression, which in general is solved with the components of each directional.
Consequently to answer the questions you must use the principles of conservation of momentum and kinematics.
2) If the vehicles travel at right angles and their masses are similar, the direction after the collision in each direction.
3) The factors that influence the direction and distance traveled are:
The initial speed of the vehicles
The mass of the vehicles
Pavement conditions: dry, wet, humid, with dirt or loose sand.
In conclusion, using the kinematics and conservation of momentum relationships, we can find the answers to the question about measurements and conditions to know the accident conditions are:
1) The principles of conservation of momentum and kinematics.
2)
3) The factors that influence the direction and distance traveled are:
The initial speed of the vehicles
The mass of the vehicles
Pavement conditions: dry, wet, humid, with dirt or loose sand.
Learn more about kinematics and momentum here: brainly.com/question/17304001