How Do You Calculate Chase Time and Distance in Physics Problems?

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SUMMARY

The discussion focuses on calculating chase time and distance in a physics problem involving a police officer chasing a speeding motorist. The officer accelerates from rest at 3 m/s² to catch a motorist traveling at 120 km/h. Key results include the time to reach the car as 200/9 seconds, the officer's maximum speed as 200/3 m/s, and the distance traveled by both vehicles when the officer catches the car as 20000/27 meters. The discussion emphasizes the use of the equations of motion: v = u + at, v² = u² + 2as, and s = ut + 1/2 at².

PREREQUISITES
  • Understanding of kinematics and the equations of motion
  • Knowledge of uniform acceleration concepts
  • Ability to convert units (e.g., km/h to m/s)
  • Familiarity with graphing velocity-time relationships
NEXT STEPS
  • Study the derivation and application of the equations of motion in various scenarios
  • Practice problems involving uniform acceleration and deceleration
  • Learn how to convert speed units, specifically from km/h to m/s
  • Explore graphing techniques for velocity-time graphs in physics
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Students preparing for physics exams, educators teaching kinematics, and anyone needing to solve motion-related problems in physics.

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hey i have finals tomoro and i have to make a poster out of this problem ..
but i can even do this problem ..i v tried it tho.



QUESTION...
A police officer is sitting at the side of the road on a motorbike with the engine running, monitoring motorist's speeds with a speed gun. The speedlimit is 100 km/h. A motorist passes the police officer at 120 km/h and as the car passes, the police officer starts from rest and chases the motorist with uniform accelaration of 3 m/s^2.
A) How long does it take for the police officer to reach the car?
B) What is the maximum speed of the police offficer?
C) What is the distance travvled by the two vehilcles, when the police officer reaches the car.
D) What distance does it take for the car to come to a stop?
E) Skatch a velocity time graph of the motion of the two vehicles on the same set of axes.





i have the answers but i don't know how he got them ? i need to show my work .:(



a 200/9 s
b 200/3 m/s
c 20000/27 m
d depends how you want to do deceleration
e time on x velocity on y, car is flat line at y=120
bike is parabola y=3x^2


please help out thx
 
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There are three equation sof motion
v = u + at
v^2 = u^2 + 2as
s = ut + 1/2 at^2
Where v=final velocity, u=initial velocity, s=distance t=time a=accelration.

Most of these questions consist of picking which equations you have most of the values for, writing the equation for both objects then setting the equations equal to each other.
Be careful to use the same units and in questions about rising and falling objects be careful about the sign of accelration.
 

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