A car is going with a constant speed of 15 m/s (about 34 mph) in a school-crossi

Question

1. A car is going with a constant speed of 15 m/s (about 34 mph) in a school-crossing corner, where the speed limit is 10 m/s (about 22 mph). A police car, stopped at the corner, starts off in pursuit with constant acceleration of 3.0 m/s2. (15 points)
   1. How much time does it take for the police car to catch up this car?
   2. What is the speed of the police car at that point?
   3. What is the distance traveled at that point?

1. A car is going with a constant speed of 15 m/s (about 34 mph) in a school-crossing corner, where the speed limit is 10 m/s (about 22 mph). A police car, stopped at the corner, starts off in pursuit with constant acceleration of 3.0 m/s2. (15 points)
   1. How much time does it take for the police car to catch up this car?
   2. What is the speed of the police car at that point?
   3. What is the distance traveled at that point?

Explanation / Answer

police catches car when both police and car at same point

this implies 15*t=3*t^2 /2

therefore t=10s

speed of police car at that point=3*10

=30 m/s

distance travelled=3*10^2 /2

=150 m

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