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

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To calculate chase time and distance in physics problems, the key is to apply the equations of motion effectively. The scenario involves a police officer accelerating from rest at 3 m/s² to catch a motorist traveling at 120 km/h. The calculations yield that it takes approximately 22.22 seconds for the officer to reach the car, with a maximum speed of about 66.67 m/s and a distance of around 740.74 meters traveled by both vehicles when the officer catches up. Additionally, the distance required for the car to stop varies based on its deceleration. Understanding how to set up the equations and ensure consistent units is crucial for solving such problems.
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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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